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Finding the Fourth Proportional to 354.57, 531.68 and 149.10

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Solution

The fourth proportional to 354.57, 531.68 and 149.10 is: 223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.57 : 531.68 = 149.10 : x
  2. Step 2: Convert to fraction form
    354.57/531.68 = 149.10/x
  3. Step 3: Cross multiply
    354.57x = 531.68 × 149.10
  4. Step 4: Simplify right side
    354.57x = 79,272.74
  5. Step 5: Solve for x
    x = 79,272.74/354.57
  6. Step 6: Final answer
    x = 223.57

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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.