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Finding the Fourth Proportional to 486.38, 729.68 and 161.78

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Solution

The fourth proportional to 486.38, 729.68 and 161.78 is: 242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.38 : 729.68 = 161.78 : x
  2. Step 2: Convert to fraction form
    486.38/729.68 = 161.78/x
  3. Step 3: Cross multiply
    486.38x = 729.68 × 161.78
  4. Step 4: Simplify right side
    486.38x = 118,043.17
  5. Step 5: Solve for x
    x = 118,043.17/486.38
  6. Step 6: Final answer
    x = 242.70

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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.