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Finding the Fourth Proportional to 532.65, 798.83 and 181.22

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Solution

The fourth proportional to 532.65, 798.83 and 181.22 is: 271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.65 : 798.83 = 181.22 : x
  2. Step 2: Convert to fraction form
    532.65/798.83 = 181.22/x
  3. Step 3: Cross multiply
    532.65x = 798.83 × 181.22
  4. Step 4: Simplify right side
    532.65x = 144,763.97
  5. Step 5: Solve for x
    x = 144,763.97/532.65
  6. Step 6: Final answer
    x = 271.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.