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Finding the Fourth Proportional to 178.69, 267.41 and 101.44

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Solution

The fourth proportional to 178.69, 267.41 and 101.44 is: 151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.69 : 267.41 = 101.44 : x
  2. Step 2: Convert to fraction form
    178.69/267.41 = 101.44/x
  3. Step 3: Cross multiply
    178.69x = 267.41 × 101.44
  4. Step 4: Simplify right side
    178.69x = 27,126.07
  5. Step 5: Solve for x
    x = 27,126.07/178.69
  6. Step 6: Final answer
    x = 151.81

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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.