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Finding the Fourth Proportional to 249.19, 373.66 and 75.82

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Solution

The fourth proportional to 249.19, 373.66 and 75.82 is: 113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.19 : 373.66 = 75.82 : x
  2. Step 2: Convert to fraction form
    249.19/373.66 = 75.82/x
  3. Step 3: Cross multiply
    249.19x = 373.66 × 75.82
  4. Step 4: Simplify right side
    249.19x = 28,330.90
  5. Step 5: Solve for x
    x = 28,330.90/249.19
  6. Step 6: Final answer
    x = 113.69

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Why These Related Problems?

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