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Finding the Fourth Proportional to 178.11, 267.17 and 174.24

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Solution

The fourth proportional to 178.11, 267.17 and 174.24 is: 261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.11 : 267.17 = 174.24 : x
  2. Step 2: Convert to fraction form
    178.11/267.17 = 174.24/x
  3. Step 3: Cross multiply
    178.11x = 267.17 × 174.24
  4. Step 4: Simplify right side
    178.11x = 46,550.83
  5. Step 5: Solve for x
    x = 46,550.83/178.11
  6. Step 6: Final answer
    x = 261.36

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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.