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Finding the Fourth Proportional to 354.75, 532.14 and 111.29

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Solution

The fourth proportional to 354.75, 532.14 and 111.29 is: 166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.75 : 532.14 = 111.29 : x
  2. Step 2: Convert to fraction form
    354.75/532.14 = 111.29/x
  3. Step 3: Cross multiply
    354.75x = 532.14 × 111.29
  4. Step 4: Simplify right side
    354.75x = 59,218.78
  5. Step 5: Solve for x
    x = 59,218.78/354.75
  6. Step 6: Final answer
    x = 166.93

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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.