1. **State the problem:**
Patrick read $w$ pages. Belvedere read 2.25 times as many pages as Patrick, so Belvedere read $2.25w$ pages.
Keenan read 144.1 pages, which is 17 pages more than Patrick read.
2. **Write the equation for Patrick's pages:**
Since Keenan read 17 pages more than Patrick, we have:
$$144.1 = 17 + w$$
3. **Solve for $w$:**
Subtract 17 from both sides:
$$144.1 - \cancel{17} = \cancel{17} + w - 17$$
$$144.1 - 17 = w$$
Calculate the left side:
$$127.1 = w$$
So, Patrick read $127.1$ pages.
4. **Find how many pages Belvedere read:**
Belvedere read $2.25$ times as many pages as Patrick:
$$2.25 \times 127.1 = 285.975$$
Rounded to the nearest tenth:
$$285.975 \approx 286.0$$
**Final answers:**
- Equation representing Patrick's pages: $$144.1 = 17 + w$$
- Belvedere read approximately $286.0$ pages.
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