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Finding the Fourth Proportional to 195.64, 293.46 and 72.25

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Solution

The fourth proportional to 195.64, 293.46 and 72.25 is: 108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.64 : 293.46 = 72.25 : x
  2. Step 2: Convert to fraction form
    195.64/293.46 = 72.25/x
  3. Step 3: Cross multiply
    195.64x = 293.46 × 72.25
  4. Step 4: Simplify right side
    195.64x = 21,201.02
  5. Step 5: Solve for x
    x = 21,201.02/195.64
  6. Step 6: Final answer
    x = 108.37

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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.