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Finding the Fourth Proportional to 416, 624 and 159.52

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Solution

The fourth proportional to 416, 624 and 159.52 is: 239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 624 = 159.52 : x
  2. Step 2: Convert to fraction form
    416/624 = 159.52/x
  3. Step 3: Cross multiply
    416x = 624 × 159.52
  4. Step 4: Simplify right side
    416x = 99,540.48
  5. Step 5: Solve for x
    x = 99,540.48/416
  6. Step 6: Final answer
    x = 239.28

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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.