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Finding the Fourth Proportional to 494.83, 742.25 and 186.76

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Solution

The fourth proportional to 494.83, 742.25 and 186.76 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.83 : 742.25 = 186.76 : x
  2. Step 2: Convert to fraction form
    494.83/742.25 = 186.76/x
  3. Step 3: Cross multiply
    494.83x = 742.25 × 186.76
  4. Step 4: Simplify right side
    494.83x = 138,622.61
  5. Step 5: Solve for x
    x = 138,622.61/494.83
  6. Step 6: Final answer
    x = 280.14

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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.