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Finding the Fourth Proportional to 195.75, 269.53 and 174.96

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Solution

The fourth proportional to 195.75, 269.53 and 174.96 is: 240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 269.53 = 174.96 : x
  2. Step 2: Convert to fraction form
    195.75/269.53 = 174.96/x
  3. Step 3: Cross multiply
    195.75x = 269.53 × 174.96
  4. Step 4: Simplify right side
    195.75x = 47,156.53
  5. Step 5: Solve for x
    x = 47,156.53/195.75
  6. Step 6: Final answer
    x = 240.90

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Why These Related Problems?

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