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Finding the Fourth Proportional to 178.77, 267.70 and 133.15

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Solution

The fourth proportional to 178.77, 267.70 and 133.15 is: 199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.77 : 267.70 = 133.15 : x
  2. Step 2: Convert to fraction form
    178.77/267.70 = 133.15/x
  3. Step 3: Cross multiply
    178.77x = 267.70 × 133.15
  4. Step 4: Simplify right side
    178.77x = 35,644.26
  5. Step 5: Solve for x
    x = 35,644.26/178.77
  6. Step 6: Final answer
    x = 199.39

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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.