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Finding the Fourth Proportional to 250.98, 377.07 and 159.85

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Solution

The fourth proportional to 250.98, 377.07 and 159.85 is: 240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.98 : 377.07 = 159.85 : x
  2. Step 2: Convert to fraction form
    250.98/377.07 = 159.85/x
  3. Step 3: Cross multiply
    250.98x = 377.07 × 159.85
  4. Step 4: Simplify right side
    250.98x = 60,275.41
  5. Step 5: Solve for x
    x = 60,275.41/250.98
  6. Step 6: Final answer
    x = 240.16

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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.