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Finding the Fourth Proportional to 249.40, 373.82 and 119.29

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Solution

The fourth proportional to 249.40, 373.82 and 119.29 is: 178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.40 : 373.82 = 119.29 : x
  2. Step 2: Convert to fraction form
    249.40/373.82 = 119.29/x
  3. Step 3: Cross multiply
    249.40x = 373.82 × 119.29
  4. Step 4: Simplify right side
    249.40x = 44,592.16
  5. Step 5: Solve for x
    x = 44,592.16/249.40
  6. Step 6: Final answer
    x = 178.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.