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Finding the Fourth Proportional to 195.81, 292.98 and 141.59

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Solution

The fourth proportional to 195.81, 292.98 and 141.59 is: 211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.81 : 292.98 = 141.59 : x
  2. Step 2: Convert to fraction form
    195.81/292.98 = 141.59/x
  3. Step 3: Cross multiply
    195.81x = 292.98 × 141.59
  4. Step 4: Simplify right side
    195.81x = 41,483.04
  5. Step 5: Solve for x
    x = 41,483.04/195.81
  6. Step 6: Final answer
    x = 211.85

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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.