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Finding the Fourth Proportional to 151.44, 209.16 and 117.20

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Solution

The fourth proportional to 151.44, 209.16 and 117.20 is: 161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.44 : 209.16 = 117.20 : x
  2. Step 2: Convert to fraction form
    151.44/209.16 = 117.20/x
  3. Step 3: Cross multiply
    151.44x = 209.16 × 117.20
  4. Step 4: Simplify right side
    151.44x = 24,513.55
  5. Step 5: Solve for x
    x = 24,513.55/151.44
  6. Step 6: Final answer
    x = 161.87

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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.