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Finding the Fourth Proportional to 249.87, 374.76 and 76.50

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Solution

The fourth proportional to 249.87, 374.76 and 76.50 is: 114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.87 : 374.76 = 76.50 : x
  2. Step 2: Convert to fraction form
    249.87/374.76 = 76.50/x
  3. Step 3: Cross multiply
    249.87x = 374.76 × 76.50
  4. Step 4: Simplify right side
    249.87x = 28,669.14
  5. Step 5: Solve for x
    x = 28,669.14/249.87
  6. Step 6: Final answer
    x = 114.74

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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.