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Finding the Fourth Proportional to 354.56, 531.36 and 161.78

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Solution

The fourth proportional to 354.56, 531.36 and 161.78 is: 242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.56 : 531.36 = 161.78 : x
  2. Step 2: Convert to fraction form
    354.56/531.36 = 161.78/x
  3. Step 3: Cross multiply
    354.56x = 531.36 × 161.78
  4. Step 4: Simplify right side
    354.56x = 85,963.42
  5. Step 5: Solve for x
    x = 85,963.42/354.56
  6. Step 6: Final answer
    x = 242.45

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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.