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Finding the Fourth Proportional to 342.16, 513.42 and 197.92

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Solution

The fourth proportional to 342.16, 513.42 and 197.92 is: 296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.16 : 513.42 = 197.92 : x
  2. Step 2: Convert to fraction form
    342.16/513.42 = 197.92/x
  3. Step 3: Cross multiply
    342.16x = 513.42 × 197.92
  4. Step 4: Simplify right side
    342.16x = 101,616.09
  5. Step 5: Solve for x
    x = 101,616.09/342.16
  6. Step 6: Final answer
    x = 296.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.