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Finding the Fourth Proportional to 177.08, 244.16 and 132.87

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Solution

The fourth proportional to 177.08, 244.16 and 132.87 is: 183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.08 : 244.16 = 132.87 : x
  2. Step 2: Convert to fraction form
    177.08/244.16 = 132.87/x
  3. Step 3: Cross multiply
    177.08x = 244.16 × 132.87
  4. Step 4: Simplify right side
    177.08x = 32,440.87
  5. Step 5: Solve for x
    x = 32,440.87/177.08
  6. Step 6: Final answer
    x = 183.20

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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.