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Finding the Fourth Proportional to 178.36, 267.42 and 114.28

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Solution

The fourth proportional to 178.36, 267.42 and 114.28 is: 171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.36 : 267.42 = 114.28 : x
  2. Step 2: Convert to fraction form
    178.36/267.42 = 114.28/x
  3. Step 3: Cross multiply
    178.36x = 267.42 × 114.28
  4. Step 4: Simplify right side
    178.36x = 30,560.76
  5. Step 5: Solve for x
    x = 30,560.76/178.36
  6. Step 6: Final answer
    x = 171.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.