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Finding the Fourth Proportional to 354.90, 532.44 and 123.78

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Solution

The fourth proportional to 354.90, 532.44 and 123.78 is: 185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.90 : 532.44 = 123.78 : x
  2. Step 2: Convert to fraction form
    354.90/532.44 = 123.78/x
  3. Step 3: Cross multiply
    354.90x = 532.44 × 123.78
  4. Step 4: Simplify right side
    354.90x = 65,905.42
  5. Step 5: Solve for x
    x = 65,905.42/354.90
  6. Step 6: Final answer
    x = 185.70

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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.