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Finding the Fourth Proportional to 354.13, 531.20 and 161.75

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Solution

The fourth proportional to 354.13, 531.20 and 161.75 is: 242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.13 : 531.20 = 161.75 : x
  2. Step 2: Convert to fraction form
    354.13/531.20 = 161.75/x
  3. Step 3: Cross multiply
    354.13x = 531.20 × 161.75
  4. Step 4: Simplify right side
    354.13x = 85,921.60
  5. Step 5: Solve for x
    x = 85,921.60/354.13
  6. Step 6: Final answer
    x = 242.63

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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.