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Finding the Fourth Proportional to 195.77, 270.22 and 117.14

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Solution

The fourth proportional to 195.77, 270.22 and 117.14 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.77 : 270.22 = 117.14 : x
  2. Step 2: Convert to fraction form
    195.77/270.22 = 117.14/x
  3. Step 3: Cross multiply
    195.77x = 270.22 × 117.14
  4. Step 4: Simplify right side
    195.77x = 31,651.63
  5. Step 5: Solve for x
    x = 31,651.63/195.77
  6. Step 6: Final answer
    x = 161.68

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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.