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Finding the Fourth Proportional to 195.13, 293.10 and 114.13

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Solution

The fourth proportional to 195.13, 293.10 and 114.13 is: 171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.13 : 293.10 = 114.13 : x
  2. Step 2: Convert to fraction form
    195.13/293.10 = 114.13/x
  3. Step 3: Cross multiply
    195.13x = 293.10 × 114.13
  4. Step 4: Simplify right side
    195.13x = 33,451.50
  5. Step 5: Solve for x
    x = 33,451.50/195.13
  6. Step 6: Final answer
    x = 171.43

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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.