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Finding the Fourth Proportional to 494.75, 742.25 and 152.75

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Solution

The fourth proportional to 494.75, 742.25 and 152.75 is: 229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.75 : 742.25 = 152.75 : x
  2. Step 2: Convert to fraction form
    494.75/742.25 = 152.75/x
  3. Step 3: Cross multiply
    494.75x = 742.25 × 152.75
  4. Step 4: Simplify right side
    494.75x = 113,377.92
  5. Step 5: Solve for x
    x = 113,377.92/494.75
  6. Step 6: Final answer
    x = 229.16

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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.