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Finding the Fourth Proportional to 195.64, 293.61 and 109.04

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Solution

The fourth proportional to 195.64, 293.61 and 109.04 is: 163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.64 : 293.61 = 109.04 : x
  2. Step 2: Convert to fraction form
    195.64/293.61 = 109.04/x
  3. Step 3: Cross multiply
    195.64x = 293.61 × 109.04
  4. Step 4: Simplify right side
    195.64x = 32,014.18
  5. Step 5: Solve for x
    x = 32,014.18/195.64
  6. Step 6: Final answer
    x = 163.64

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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.