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Finding the Fourth Proportional to 195.56, 293.01 and 102.88

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Solution

The fourth proportional to 195.56, 293.01 and 102.88 is: 154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.56 : 293.01 = 102.88 : x
  2. Step 2: Convert to fraction form
    195.56/293.01 = 102.88/x
  3. Step 3: Cross multiply
    195.56x = 293.01 × 102.88
  4. Step 4: Simplify right side
    195.56x = 30,143.75
  5. Step 5: Solve for x
    x = 30,143.75/195.56
  6. Step 6: Final answer
    x = 154.14

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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.