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Finding the Fourth Proportional to 249.08, 373.86 and 119.16

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Solution

The fourth proportional to 249.08, 373.86 and 119.16 is: 178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.08 : 373.86 = 119.16 : x
  2. Step 2: Convert to fraction form
    249.08/373.86 = 119.16/x
  3. Step 3: Cross multiply
    249.08x = 373.86 × 119.16
  4. Step 4: Simplify right side
    249.08x = 44,549.16
  5. Step 5: Solve for x
    x = 44,549.16/249.08
  6. Step 6: Final answer
    x = 178.86

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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.