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Finding the Fourth Proportional to 532.52, 798.86 and 167.23

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Solution

The fourth proportional to 532.52, 798.86 and 167.23 is: 250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.52 : 798.86 = 167.23 : x
  2. Step 2: Convert to fraction form
    532.52/798.86 = 167.23/x
  3. Step 3: Cross multiply
    532.52x = 798.86 × 167.23
  4. Step 4: Simplify right side
    532.52x = 133,593.36
  5. Step 5: Solve for x
    x = 133,593.36/532.52
  6. Step 6: Final answer
    x = 250.87

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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.