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Finding the Fourth Proportional to 196.52, 293.32 and 170.92

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Solution

The fourth proportional to 196.52, 293.32 and 170.92 is: 255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.52 : 293.32 = 170.92 : x
  2. Step 2: Convert to fraction form
    196.52/293.32 = 170.92/x
  3. Step 3: Cross multiply
    196.52x = 293.32 × 170.92
  4. Step 4: Simplify right side
    196.52x = 50,134.25
  5. Step 5: Solve for x
    x = 50,134.25/196.52
  6. Step 6: Final answer
    x = 255.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.