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Finding the Fourth Proportional to 195.44, 291.44 and 181.76

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Solution

The fourth proportional to 195.44, 291.44 and 181.76 is: 271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.44 : 291.44 = 181.76 : x
  2. Step 2: Convert to fraction form
    195.44/291.44 = 181.76/x
  3. Step 3: Cross multiply
    195.44x = 291.44 × 181.76
  4. Step 4: Simplify right side
    195.44x = 52,972.13
  5. Step 5: Solve for x
    x = 52,972.13/195.44
  6. Step 6: Final answer
    x = 271.04

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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.