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Finding the Fourth Proportional to 178.14, 267.60 and 117.38

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Solution

The fourth proportional to 178.14, 267.60 and 117.38 is: 176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.14 : 267.60 = 117.38 : x
  2. Step 2: Convert to fraction form
    178.14/267.60 = 117.38/x
  3. Step 3: Cross multiply
    178.14x = 267.60 × 117.38
  4. Step 4: Simplify right side
    178.14x = 31,410.89
  5. Step 5: Solve for x
    x = 31,410.89/178.14
  6. Step 6: Final answer
    x = 176.33

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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.