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Finding the Fourth Proportional to 178.16, 267.32 and 82.04

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Solution

The fourth proportional to 178.16, 267.32 and 82.04 is: 123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.16 : 267.32 = 82.04 : x
  2. Step 2: Convert to fraction form
    178.16/267.32 = 82.04/x
  3. Step 3: Cross multiply
    178.16x = 267.32 × 82.04
  4. Step 4: Simplify right side
    178.16x = 21,930.93
  5. Step 5: Solve for x
    x = 21,930.93/178.16
  6. Step 6: Final answer
    x = 123.10

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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.