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Finding the Fourth Proportional to 180.40, 249.06 and 136.76

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Solution

The fourth proportional to 180.40, 249.06 and 136.76 is: 188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.40 : 249.06 = 136.76 : x
  2. Step 2: Convert to fraction form
    180.40/249.06 = 136.76/x
  3. Step 3: Cross multiply
    180.40x = 249.06 × 136.76
  4. Step 4: Simplify right side
    180.40x = 34,061.45
  5. Step 5: Solve for x
    x = 34,061.45/180.40
  6. Step 6: Final answer
    x = 188.81

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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.