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Finding the Fourth Proportional to 342.92, 473.20 and 195.57

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Solution

The fourth proportional to 342.92, 473.20 and 195.57 is: 269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.92 : 473.20 = 195.57 : x
  2. Step 2: Convert to fraction form
    342.92/473.20 = 195.57/x
  3. Step 3: Cross multiply
    342.92x = 473.20 × 195.57
  4. Step 4: Simplify right side
    342.92x = 92,543.24
  5. Step 5: Solve for x
    x = 92,543.24/342.92
  6. Step 6: Final answer
    x = 269.87

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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.