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Finding the Fourth Proportional to 532.41, 798.61 and 167.20

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Solution

The fourth proportional to 532.41, 798.61 and 167.20 is: 250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.41 : 798.61 = 167.20 : x
  2. Step 2: Convert to fraction form
    532.41/798.61 = 167.20/x
  3. Step 3: Cross multiply
    532.41x = 798.61 × 167.20
  4. Step 4: Simplify right side
    532.41x = 133,527.59
  5. Step 5: Solve for x
    x = 133,527.59/532.41
  6. Step 6: Final answer
    x = 250.80

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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.