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Finding the Fourth Proportional to 354.53, 531.75 and 123.41

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Solution

The fourth proportional to 354.53, 531.75 and 123.41 is: 185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.53 : 531.75 = 123.41 : x
  2. Step 2: Convert to fraction form
    354.53/531.75 = 123.41/x
  3. Step 3: Cross multiply
    354.53x = 531.75 × 123.41
  4. Step 4: Simplify right side
    354.53x = 65,620.61
  5. Step 5: Solve for x
    x = 65,620.61/354.53
  6. Step 6: Final answer
    x = 185.09

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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.