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Finding the Fourth Proportional to 243.98, 337.07 and 225.53

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Solution

The fourth proportional to 243.98, 337.07 and 225.53 is: 311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.98 : 337.07 = 225.53 : x
  2. Step 2: Convert to fraction form
    243.98/337.07 = 225.53/x
  3. Step 3: Cross multiply
    243.98x = 337.07 × 225.53
  4. Step 4: Simplify right side
    243.98x = 76,018.28
  5. Step 5: Solve for x
    x = 76,018.28/243.98
  6. Step 6: Final answer
    x = 311.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.