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Finding the Fourth Proportional to 178.68, 267.66 and 142.19

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Solution

The fourth proportional to 178.68, 267.66 and 142.19 is: 212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.68 : 267.66 = 142.19 : x
  2. Step 2: Convert to fraction form
    178.68/267.66 = 142.19/x
  3. Step 3: Cross multiply
    178.68x = 267.66 × 142.19
  4. Step 4: Simplify right side
    178.68x = 38,057.24
  5. Step 5: Solve for x
    x = 38,057.24/178.68
  6. Step 6: Final answer
    x = 212.99

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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.