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Finding the Fourth Proportional to 486.68, 729.81 and 178.61

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Solution

The fourth proportional to 486.68, 729.81 and 178.61 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.68 : 729.81 = 178.61 : x
  2. Step 2: Convert to fraction form
    486.68/729.81 = 178.61/x
  3. Step 3: Cross multiply
    486.68x = 729.81 × 178.61
  4. Step 4: Simplify right side
    486.68x = 130,347.72
  5. Step 5: Solve for x
    x = 130,347.72/486.68
  6. Step 6: Final answer
    x = 267.83

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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.