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Finding the Fourth Proportional to 195.35, 269.58 and 112.40

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Solution

The fourth proportional to 195.35, 269.58 and 112.40 is: 155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.35 : 269.58 = 112.40 : x
  2. Step 2: Convert to fraction form
    195.35/269.58 = 112.40/x
  3. Step 3: Cross multiply
    195.35x = 269.58 × 112.40
  4. Step 4: Simplify right side
    195.35x = 30,301.47
  5. Step 5: Solve for x
    x = 30,301.47/195.35
  6. Step 6: Final answer
    x = 155.11

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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.