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Finding the Fourth Proportional to 342.26, 512.85 and 197.66

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Solution

The fourth proportional to 342.26, 512.85 and 197.66 is: 296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.26 : 512.85 = 197.66 : x
  2. Step 2: Convert to fraction form
    342.26/512.85 = 197.66/x
  3. Step 3: Cross multiply
    342.26x = 512.85 × 197.66
  4. Step 4: Simplify right side
    342.26x = 101,369.93
  5. Step 5: Solve for x
    x = 101,369.93/342.26
  6. Step 6: Final answer
    x = 296.18

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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.