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Finding the Fourth Proportional to 250.59, 375.89 and 96.49

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Solution

The fourth proportional to 250.59, 375.89 and 96.49 is: 144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.59 : 375.89 = 96.49 : x
  2. Step 2: Convert to fraction form
    250.59/375.89 = 96.49/x
  3. Step 3: Cross multiply
    250.59x = 375.89 × 96.49
  4. Step 4: Simplify right side
    250.59x = 36,269.87
  5. Step 5: Solve for x
    x = 36,269.87/250.59
  6. Step 6: Final answer
    x = 144.74

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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.