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Finding the Fourth Proportional to 195.84, 269.82 and 187.20

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Solution

The fourth proportional to 195.84, 269.82 and 187.20 is: 257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.84 : 269.82 = 187.20 : x
  2. Step 2: Convert to fraction form
    195.84/269.82 = 187.20/x
  3. Step 3: Cross multiply
    195.84x = 269.82 × 187.20
  4. Step 4: Simplify right side
    195.84x = 50,510.30
  5. Step 5: Solve for x
    x = 50,510.30/195.84
  6. Step 6: Final answer
    x = 257.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.