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Finding the Fourth Proportional to 180.91, 249.78 and 170.11

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Solution

The fourth proportional to 180.91, 249.78 and 170.11 is: 234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.91 : 249.78 = 170.11 : x
  2. Step 2: Convert to fraction form
    180.91/249.78 = 170.11/x
  3. Step 3: Cross multiply
    180.91x = 249.78 × 170.11
  4. Step 4: Simplify right side
    180.91x = 42,490.08
  5. Step 5: Solve for x
    x = 42,490.08/180.91
  6. Step 6: Final answer
    x = 234.87

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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.