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Finding the Fourth Proportional to 178.74, 267.96 and 105.68

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Solution

The fourth proportional to 178.74, 267.96 and 105.68 is: 158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.74 : 267.96 = 105.68 : x
  2. Step 2: Convert to fraction form
    178.74/267.96 = 105.68/x
  3. Step 3: Cross multiply
    178.74x = 267.96 × 105.68
  4. Step 4: Simplify right side
    178.74x = 28,318.01
  5. Step 5: Solve for x
    x = 28,318.01/178.74
  6. Step 6: Final answer
    x = 158.43

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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.