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Finding the Fourth Proportional to 288.30, 431.82 and 195.54

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Solution

The fourth proportional to 288.30, 431.82 and 195.54 is: 292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.30 : 431.82 = 195.54 : x
  2. Step 2: Convert to fraction form
    288.30/431.82 = 195.54/x
  3. Step 3: Cross multiply
    288.30x = 431.82 × 195.54
  4. Step 4: Simplify right side
    288.30x = 84,438.08
  5. Step 5: Solve for x
    x = 84,438.08/288.30
  6. Step 6: Final answer
    x = 292.88

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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.