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Finding the Fourth Proportional to 250.92, 376.42 and 113.98

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Solution

The fourth proportional to 250.92, 376.42 and 113.98 is: 170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.92 : 376.42 = 113.98 : x
  2. Step 2: Convert to fraction form
    250.92/376.42 = 113.98/x
  3. Step 3: Cross multiply
    250.92x = 376.42 × 113.98
  4. Step 4: Simplify right side
    250.92x = 42,904.35
  5. Step 5: Solve for x
    x = 42,904.35/250.92
  6. Step 6: Final answer
    x = 170.99

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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.