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Finding the Fourth Proportional to 354.29, 531.25 and 161.75

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Solution

The fourth proportional to 354.29, 531.25 and 161.75 is: 242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.29 : 531.25 = 161.75 : x
  2. Step 2: Convert to fraction form
    354.29/531.25 = 161.75/x
  3. Step 3: Cross multiply
    354.29x = 531.25 × 161.75
  4. Step 4: Simplify right side
    354.29x = 85,929.69
  5. Step 5: Solve for x
    x = 85,929.69/354.29
  6. Step 6: Final answer
    x = 242.54

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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.