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Finding the Fourth Proportional to 195.02, 269.34 and 132.74

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Solution

The fourth proportional to 195.02, 269.34 and 132.74 is: 183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.02 : 269.34 = 132.74 : x
  2. Step 2: Convert to fraction form
    195.02/269.34 = 132.74/x
  3. Step 3: Cross multiply
    195.02x = 269.34 × 132.74
  4. Step 4: Simplify right side
    195.02x = 35,752.86
  5. Step 5: Solve for x
    x = 35,752.86/195.02
  6. Step 6: Final answer
    x = 183.33

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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.