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Finding the Fourth Proportional to 240.24, 332.31 and 224.79

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Solution

The fourth proportional to 240.24, 332.31 and 224.79 is: 310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.24 : 332.31 = 224.79 : x
  2. Step 2: Convert to fraction form
    240.24/332.31 = 224.79/x
  3. Step 3: Cross multiply
    240.24x = 332.31 × 224.79
  4. Step 4: Simplify right side
    240.24x = 74,699.96
  5. Step 5: Solve for x
    x = 74,699.96/240.24
  6. Step 6: Final answer
    x = 310.94

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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.