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Finding the Fourth Proportional to 195.41, 292.96 and 73.61

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Solution

The fourth proportional to 195.41, 292.96 and 73.61 is: 110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.41 : 292.96 = 73.61 : x
  2. Step 2: Convert to fraction form
    195.41/292.96 = 73.61/x
  3. Step 3: Cross multiply
    195.41x = 292.96 × 73.61
  4. Step 4: Simplify right side
    195.41x = 21,564.42
  5. Step 5: Solve for x
    x = 21,564.42/195.41
  6. Step 6: Final answer
    x = 110.35

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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.