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Finding the Fourth Proportional to 663.97, 995.82 and 225.16

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Solution

The fourth proportional to 663.97, 995.82 and 225.16 is: 337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.97 : 995.82 = 225.16 : x
  2. Step 2: Convert to fraction form
    663.97/995.82 = 225.16/x
  3. Step 3: Cross multiply
    663.97x = 995.82 × 225.16
  4. Step 4: Simplify right side
    663.97x = 224,218.83
  5. Step 5: Solve for x
    x = 224,218.83/663.97
  6. Step 6: Final answer
    x = 337.69

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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.