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Finding the Fourth Proportional to 195.64, 293.46 and 114.43

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Solution

The fourth proportional to 195.64, 293.46 and 114.43 is: 171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.64 : 293.46 = 114.43 : x
  2. Step 2: Convert to fraction form
    195.64/293.46 = 114.43/x
  3. Step 3: Cross multiply
    195.64x = 293.46 × 114.43
  4. Step 4: Simplify right side
    195.64x = 33,579.16
  5. Step 5: Solve for x
    x = 33,579.16/195.64
  6. Step 6: Final answer
    x = 171.64

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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.