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Finding the Fourth Proportional to 486.62, 729.90 and 178.42

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Solution

The fourth proportional to 486.62, 729.90 and 178.42 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.62 : 729.90 = 178.42 : x
  2. Step 2: Convert to fraction form
    486.62/729.90 = 178.42/x
  3. Step 3: Cross multiply
    486.62x = 729.90 × 178.42
  4. Step 4: Simplify right side
    486.62x = 130,225.11
  5. Step 5: Solve for x
    x = 130,225.11/486.62
  6. Step 6: Final answer
    x = 267.61

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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.