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Finding the Fourth Proportional to 180.52, 246.92 and 177.70

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Solution

The fourth proportional to 180.52, 246.92 and 177.70 is: 243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.52 : 246.92 = 177.70 : x
  2. Step 2: Convert to fraction form
    180.52/246.92 = 177.70/x
  3. Step 3: Cross multiply
    180.52x = 246.92 × 177.70
  4. Step 4: Simplify right side
    180.52x = 43,877.68
  5. Step 5: Solve for x
    x = 43,877.68/180.52
  6. Step 6: Final answer
    x = 243.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.