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Finding the Fourth Proportional to 195.60, 292.79 and 154.60

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Solution

The fourth proportional to 195.60, 292.79 and 154.60 is: 231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.60 : 292.79 = 154.60 : x
  2. Step 2: Convert to fraction form
    195.60/292.79 = 154.60/x
  3. Step 3: Cross multiply
    195.60x = 292.79 × 154.60
  4. Step 4: Simplify right side
    195.60x = 45,265.33
  5. Step 5: Solve for x
    x = 45,265.33/195.60
  6. Step 6: Final answer
    x = 231.42

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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.