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Finding the Fourth Proportional to 195.89, 270.31 and 117.21

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Solution

The fourth proportional to 195.89, 270.31 and 117.21 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.89 : 270.31 = 117.21 : x
  2. Step 2: Convert to fraction form
    195.89/270.31 = 117.21/x
  3. Step 3: Cross multiply
    195.89x = 270.31 × 117.21
  4. Step 4: Simplify right side
    195.89x = 31,683.04
  5. Step 5: Solve for x
    x = 31,683.04/195.89
  6. Step 6: Final answer
    x = 161.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.