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Finding the Fourth Proportional to 195.29, 292.94 and 65.31

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Solution

The fourth proportional to 195.29, 292.94 and 65.31 is: 97.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.29 : 292.94 = 65.31 : x
  2. Step 2: Convert to fraction form
    195.29/292.94 = 65.31/x
  3. Step 3: Cross multiply
    195.29x = 292.94 × 65.31
  4. Step 4: Simplify right side
    195.29x = 19,131.91
  5. Step 5: Solve for x
    x = 19,131.91/195.29
  6. Step 6: Final answer
    x = 97.97

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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.