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Finding the Fourth Proportional to 195.96, 294.08 and 93.32

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Solution

The fourth proportional to 195.96, 294.08 and 93.32 is: 140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.96 : 294.08 = 93.32 : x
  2. Step 2: Convert to fraction form
    195.96/294.08 = 93.32/x
  3. Step 3: Cross multiply
    195.96x = 294.08 × 93.32
  4. Step 4: Simplify right side
    195.96x = 27,443.55
  5. Step 5: Solve for x
    x = 27,443.55/195.96
  6. Step 6: Final answer
    x = 140.05

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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.