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Finding the Fourth Proportional to 532.48, 798.74 and 167.28

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Solution

The fourth proportional to 532.48, 798.74 and 167.28 is: 250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.48 : 798.74 = 167.28 : x
  2. Step 2: Convert to fraction form
    532.48/798.74 = 167.28/x
  3. Step 3: Cross multiply
    532.48x = 798.74 × 167.28
  4. Step 4: Simplify right side
    532.48x = 133,613.23
  5. Step 5: Solve for x
    x = 133,613.23/532.48
  6. Step 6: Final answer
    x = 250.93

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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.