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Finding the Fourth Proportional to 494.86, 742.19 and 186.68

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Solution

The fourth proportional to 494.86, 742.19 and 186.68 is: 279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.86 : 742.19 = 186.68 : x
  2. Step 2: Convert to fraction form
    494.86/742.19 = 186.68/x
  3. Step 3: Cross multiply
    494.86x = 742.19 × 186.68
  4. Step 4: Simplify right side
    494.86x = 138,552.03
  5. Step 5: Solve for x
    x = 138,552.03/494.86
  6. Step 6: Final answer
    x = 279.98

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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.