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Finding the Fourth Proportional to 486.67, 729.74 and 161.86

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Solution

The fourth proportional to 486.67, 729.74 and 161.86 is: 242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.67 : 729.74 = 161.86 : x
  2. Step 2: Convert to fraction form
    486.67/729.74 = 161.86/x
  3. Step 3: Cross multiply
    486.67x = 729.74 × 161.86
  4. Step 4: Simplify right side
    486.67x = 118,114.91
  5. Step 5: Solve for x
    x = 118,114.91/486.67
  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.