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Finding the Fourth Proportional to 195.96, 295.02 and 169.50

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Solution

The fourth proportional to 195.96, 295.02 and 169.50 is: 255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.96 : 295.02 = 169.50 : x
  2. Step 2: Convert to fraction form
    195.96/295.02 = 169.50/x
  3. Step 3: Cross multiply
    195.96x = 295.02 × 169.50
  4. Step 4: Simplify right side
    195.96x = 50,005.89
  5. Step 5: Solve for x
    x = 50,005.89/195.96
  6. Step 6: Final answer
    x = 255.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.