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Finding the Fourth Proportional to 195.28, 292.63 and 154.24

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Solution

The fourth proportional to 195.28, 292.63 and 154.24 is: 231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.28 : 292.63 = 154.24 : x
  2. Step 2: Convert to fraction form
    195.28/292.63 = 154.24/x
  3. Step 3: Cross multiply
    195.28x = 292.63 × 154.24
  4. Step 4: Simplify right side
    195.28x = 45,135.25
  5. Step 5: Solve for x
    x = 45,135.25/195.28
  6. Step 6: Final answer
    x = 231.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.