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Finding the Fourth Proportional to 243.40, 334.49 and 232.12

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Solution

The fourth proportional to 243.40, 334.49 and 232.12 is: 318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.40 : 334.49 = 232.12 : x
  2. Step 2: Convert to fraction form
    243.40/334.49 = 232.12/x
  3. Step 3: Cross multiply
    243.40x = 334.49 × 232.12
  4. Step 4: Simplify right side
    243.40x = 77,641.82
  5. Step 5: Solve for x
    x = 77,641.82/243.40
  6. Step 6: Final answer
    x = 318.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.