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Finding the Fourth Proportional to 249.26, 372.92 and 146.64

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Solution

The fourth proportional to 249.26, 372.92 and 146.64 is: 219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.26 : 372.92 = 146.64 : x
  2. Step 2: Convert to fraction form
    249.26/372.92 = 146.64/x
  3. Step 3: Cross multiply
    249.26x = 372.92 × 146.64
  4. Step 4: Simplify right side
    249.26x = 54,684.99
  5. Step 5: Solve for x
    x = 54,684.99/249.26
  6. Step 6: Final answer
    x = 219.39

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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.