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Finding the Fourth Proportional to 195.22, 293.10 and 134.20

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Solution

The fourth proportional to 195.22, 293.10 and 134.20 is: 201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.22 : 293.10 = 134.20 : x
  2. Step 2: Convert to fraction form
    195.22/293.10 = 134.20/x
  3. Step 3: Cross multiply
    195.22x = 293.10 × 134.20
  4. Step 4: Simplify right side
    195.22x = 39,334.02
  5. Step 5: Solve for x
    x = 39,334.02/195.22
  6. Step 6: Final answer
    x = 201.49

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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.