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Finding the Fourth Proportional to 180.42, 249.04 and 136.76

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Solution

The fourth proportional to 180.42, 249.04 and 136.76 is: 188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.42 : 249.04 = 136.76 : x
  2. Step 2: Convert to fraction form
    180.42/249.04 = 136.76/x
  3. Step 3: Cross multiply
    180.42x = 249.04 × 136.76
  4. Step 4: Simplify right side
    180.42x = 34,058.71
  5. Step 5: Solve for x
    x = 34,058.71/180.42
  6. Step 6: Final answer
    x = 188.77

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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.