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Finding the Fourth Proportional to 180.47, 249.01 and 136.73

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Solution

The fourth proportional to 180.47, 249.01 and 136.73 is: 188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.47 : 249.01 = 136.73 : x
  2. Step 2: Convert to fraction form
    180.47/249.01 = 136.73/x
  3. Step 3: Cross multiply
    180.47x = 249.01 × 136.73
  4. Step 4: Simplify right side
    180.47x = 34,047.42
  5. Step 5: Solve for x
    x = 34,047.42/180.47
  6. Step 6: Final answer
    x = 188.66

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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.