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Finding the Fourth Proportional to 178.15, 267.15 and 69.95

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Solution

The fourth proportional to 178.15, 267.15 and 69.95 is: 104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.15 : 267.15 = 69.95 : x
  2. Step 2: Convert to fraction form
    178.15/267.15 = 69.95/x
  3. Step 3: Cross multiply
    178.15x = 267.15 × 69.95
  4. Step 4: Simplify right side
    178.15x = 18,687.14
  5. Step 5: Solve for x
    x = 18,687.14/178.15
  6. Step 6: Final answer
    x = 104.90

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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.