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Finding the Fourth Proportional to 195.53, 269.96 and 149.36

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Solution

The fourth proportional to 195.53, 269.96 and 149.36 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.53 : 269.96 = 149.36 : x
  2. Step 2: Convert to fraction form
    195.53/269.96 = 149.36/x
  3. Step 3: Cross multiply
    195.53x = 269.96 × 149.36
  4. Step 4: Simplify right side
    195.53x = 40,319.13
  5. Step 5: Solve for x
    x = 40,319.13/195.53
  6. Step 6: Final answer
    x = 206.21

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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.