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Finding the Fourth Proportional to 243.85, 337.71 and 226.07

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Solution

The fourth proportional to 243.85, 337.71 and 226.07 is: 313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.85 : 337.71 = 226.07 : x
  2. Step 2: Convert to fraction form
    243.85/337.71 = 226.07/x
  3. Step 3: Cross multiply
    243.85x = 337.71 × 226.07
  4. Step 4: Simplify right side
    243.85x = 76,346.10
  5. Step 5: Solve for x
    x = 76,346.10/243.85
  6. Step 6: Final answer
    x = 313.09

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