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Finding the Fourth Proportional to 195.70, 292.15 and 182.03

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Solution

The fourth proportional to 195.70, 292.15 and 182.03 is: 271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.70 : 292.15 = 182.03 : x
  2. Step 2: Convert to fraction form
    195.70/292.15 = 182.03/x
  3. Step 3: Cross multiply
    195.70x = 292.15 × 182.03
  4. Step 4: Simplify right side
    195.70x = 53,180.68
  5. Step 5: Solve for x
    x = 53,180.68/195.70
  6. Step 6: Final answer
    x = 271.74

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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.