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Finding the Fourth Proportional to 177.20, 243.92 and 152.72

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Solution

The fourth proportional to 177.20, 243.92 and 152.72 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.20 : 243.92 = 152.72 : x
  2. Step 2: Convert to fraction form
    177.20/243.92 = 152.72/x
  3. Step 3: Cross multiply
    177.20x = 243.92 × 152.72
  4. Step 4: Simplify right side
    177.20x = 37,251.46
  5. Step 5: Solve for x
    x = 37,251.46/177.20
  6. Step 6: Final answer
    x = 210.22

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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.