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Finding the Fourth Proportional to 179.08, 267.96 and 142.24

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Solution

The fourth proportional to 179.08, 267.96 and 142.24 is: 212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.08 : 267.96 = 142.24 : x
  2. Step 2: Convert to fraction form
    179.08/267.96 = 142.24/x
  3. Step 3: Cross multiply
    179.08x = 267.96 × 142.24
  4. Step 4: Simplify right side
    179.08x = 38,114.63
  5. Step 5: Solve for x
    x = 38,114.63/179.08
  6. Step 6: Final answer
    x = 212.84

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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.