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Finding the Fourth Proportional to 195, 270.56 and 186.88

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Solution

The fourth proportional to 195, 270.56 and 186.88 is: 259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195 : 270.56 = 186.88 : x
  2. Step 2: Convert to fraction form
    195/270.56 = 186.88/x
  3. Step 3: Cross multiply
    195x = 270.56 × 186.88
  4. Step 4: Simplify right side
    195x = 50,562.25
  5. Step 5: Solve for x
    x = 50,562.25/195
  6. Step 6: Final answer
    x = 259.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.