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Finding the Fourth Proportional to 195.76, 291.92 and 167.04

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Solution

The fourth proportional to 195.76, 291.92 and 167.04 is: 249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.76 : 291.92 = 167.04 : x
  2. Step 2: Convert to fraction form
    195.76/291.92 = 167.04/x
  3. Step 3: Cross multiply
    195.76x = 291.92 × 167.04
  4. Step 4: Simplify right side
    195.76x = 48,762.32
  5. Step 5: Solve for x
    x = 48,762.32/195.76
  6. Step 6: Final answer
    x = 249.09

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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.