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Finding the Fourth Proportional to 178.65, 267.78 and 132.90

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Solution

The fourth proportional to 178.65, 267.78 and 132.90 is: 199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.65 : 267.78 = 132.90 : x
  2. Step 2: Convert to fraction form
    178.65/267.78 = 132.90/x
  3. Step 3: Cross multiply
    178.65x = 267.78 × 132.90
  4. Step 4: Simplify right side
    178.65x = 35,587.96
  5. Step 5: Solve for x
    x = 35,587.96/178.65
  6. Step 6: Final answer
    x = 199.20

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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.