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Finding the Fourth Proportional to 354.74, 532.12 and 123.58

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Solution

The fourth proportional to 354.74, 532.12 and 123.58 is: 185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.74 : 532.12 = 123.58 : x
  2. Step 2: Convert to fraction form
    354.74/532.12 = 123.58/x
  3. Step 3: Cross multiply
    354.74x = 532.12 × 123.58
  4. Step 4: Simplify right side
    354.74x = 65,759.39
  5. Step 5: Solve for x
    x = 65,759.39/354.74
  6. Step 6: Final answer
    x = 185.37

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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.