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Finding the Fourth Proportional to 179.53, 247.43 and 132.19

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Solution

The fourth proportional to 179.53, 247.43 and 132.19 is: 182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.53 : 247.43 = 132.19 : x
  2. Step 2: Convert to fraction form
    179.53/247.43 = 132.19/x
  3. Step 3: Cross multiply
    179.53x = 247.43 × 132.19
  4. Step 4: Simplify right side
    179.53x = 32,707.11
  5. Step 5: Solve for x
    x = 32,707.11/179.53
  6. Step 6: Final answer
    x = 182.18

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Why These Related Problems?

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