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Finding the Fourth Proportional to 179.14, 267.58 and 120.88

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Solution

The fourth proportional to 179.14, 267.58 and 120.88 is: 180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.14 : 267.58 = 120.88 : x
  2. Step 2: Convert to fraction form
    179.14/267.58 = 120.88/x
  3. Step 3: Cross multiply
    179.14x = 267.58 × 120.88
  4. Step 4: Simplify right side
    179.14x = 32,345.07
  5. Step 5: Solve for x
    x = 32,345.07/179.14
  6. Step 6: Final answer
    x = 180.56

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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.