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Finding the Fourth Proportional to 195.72, 293.54 and 147.96

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Solution

The fourth proportional to 195.72, 293.54 and 147.96 is: 221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.72 : 293.54 = 147.96 : x
  2. Step 2: Convert to fraction form
    195.72/293.54 = 147.96/x
  3. Step 3: Cross multiply
    195.72x = 293.54 × 147.96
  4. Step 4: Simplify right side
    195.72x = 43,432.18
  5. Step 5: Solve for x
    x = 43,432.18/195.72
  6. Step 6: Final answer
    x = 221.91

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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.