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Finding the Fourth Proportional to 178.29, 267.30 and 116.64

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Solution

The fourth proportional to 178.29, 267.30 and 116.64 is: 174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.29 : 267.30 = 116.64 : x
  2. Step 2: Convert to fraction form
    178.29/267.30 = 116.64/x
  3. Step 3: Cross multiply
    178.29x = 267.30 × 116.64
  4. Step 4: Simplify right side
    178.29x = 31,177.87
  5. Step 5: Solve for x
    x = 31,177.87/178.29
  6. Step 6: Final answer
    x = 174.87

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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.