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Finding the Fourth Proportional to 195.10, 293.99 and 161.61

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Solution

The fourth proportional to 195.10, 293.99 and 161.61 is: 243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.10 : 293.99 = 161.61 : x
  2. Step 2: Convert to fraction form
    195.10/293.99 = 161.61/x
  3. Step 3: Cross multiply
    195.10x = 293.99 × 161.61
  4. Step 4: Simplify right side
    195.10x = 47,510.92
  5. Step 5: Solve for x
    x = 47,510.92/195.10
  6. Step 6: Final answer
    x = 243.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.