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Finding the Fourth Proportional to 179.08, 267.16 and 174.12

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Solution

The fourth proportional to 179.08, 267.16 and 174.12 is: 259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.08 : 267.16 = 174.12 : x
  2. Step 2: Convert to fraction form
    179.08/267.16 = 174.12/x
  3. Step 3: Cross multiply
    179.08x = 267.16 × 174.12
  4. Step 4: Simplify right side
    179.08x = 46,517.46
  5. Step 5: Solve for x
    x = 46,517.46/179.08
  6. Step 6: Final answer
    x = 259.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.