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Finding the Fourth Proportional to 178.26, 267.08 and 119.66

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Solution

The fourth proportional to 178.26, 267.08 and 119.66 is: 179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.26 : 267.08 = 119.66 : x
  2. Step 2: Convert to fraction form
    178.26/267.08 = 119.66/x
  3. Step 3: Cross multiply
    178.26x = 267.08 × 119.66
  4. Step 4: Simplify right side
    178.26x = 31,957.76
  5. Step 5: Solve for x
    x = 31,957.76/178.26
  6. Step 6: Final answer
    x = 179.28

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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.