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Finding the Fourth Proportional to 195.72, 289.58 and 195.18

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Solution

The fourth proportional to 195.72, 289.58 and 195.18 is: 288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.72 : 289.58 = 195.18 : x
  2. Step 2: Convert to fraction form
    195.72/289.58 = 195.18/x
  3. Step 3: Cross multiply
    195.72x = 289.58 × 195.18
  4. Step 4: Simplify right side
    195.72x = 56,520.22
  5. Step 5: Solve for x
    x = 56,520.22/195.72
  6. Step 6: Final answer
    x = 288.78

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.