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Finding the Fourth Proportional to 532.02, 798.10 and 166.78

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Solution

The fourth proportional to 532.02, 798.10 and 166.78 is: 250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.02 : 798.10 = 166.78 : x
  2. Step 2: Convert to fraction form
    532.02/798.10 = 166.78/x
  3. Step 3: Cross multiply
    532.02x = 798.10 × 166.78
  4. Step 4: Simplify right side
    532.02x = 133,107.12
  5. Step 5: Solve for x
    x = 133,107.12/532.02
  6. Step 6: Final answer
    x = 250.19

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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.