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Finding the Fourth Proportional to 224.31, 335.10 and 195.54

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Solution

The fourth proportional to 224.31, 335.10 and 195.54 is: 292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.31 : 335.10 = 195.54 : x
  2. Step 2: Convert to fraction form
    224.31/335.10 = 195.54/x
  3. Step 3: Cross multiply
    224.31x = 335.10 × 195.54
  4. Step 4: Simplify right side
    224.31x = 65,525.45
  5. Step 5: Solve for x
    x = 65,525.45/224.31
  6. Step 6: Final answer
    x = 292.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.