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Finding the Fourth Proportional to 334.89, 461.67 and 224.13

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Solution

The fourth proportional to 334.89, 461.67 and 224.13 is: 308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.89 : 461.67 = 224.13 : x
  2. Step 2: Convert to fraction form
    334.89/461.67 = 224.13/x
  3. Step 3: Cross multiply
    334.89x = 461.67 × 224.13
  4. Step 4: Simplify right side
    334.89x = 103,474.10
  5. Step 5: Solve for x
    x = 103,474.10/334.89
  6. Step 6: Final answer
    x = 308.98

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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.