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Finding the Fourth Proportional to 532.17, 798.25 and 166.98

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Solution

The fourth proportional to 532.17, 798.25 and 166.98 is: 250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.17 : 798.25 = 166.98 : x
  2. Step 2: Convert to fraction form
    532.17/798.25 = 166.98/x
  3. Step 3: Cross multiply
    532.17x = 798.25 × 166.98
  4. Step 4: Simplify right side
    532.17x = 133,291.79
  5. Step 5: Solve for x
    x = 133,291.79/532.17
  6. Step 6: Final answer
    x = 250.47

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