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Finding the Fourth Proportional to 179.27, 247.59 and 120.15

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Solution

The fourth proportional to 179.27, 247.59 and 120.15 is: 165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.27 : 247.59 = 120.15 : x
  2. Step 2: Convert to fraction form
    179.27/247.59 = 120.15/x
  3. Step 3: Cross multiply
    179.27x = 247.59 × 120.15
  4. Step 4: Simplify right side
    179.27x = 29,747.94
  5. Step 5: Solve for x
    x = 29,747.94/179.27
  6. Step 6: Final answer
    x = 165.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.