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Finding the Fourth Proportional to 169.70, 234.10 and 138.64

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Solution

The fourth proportional to 169.70, 234.10 and 138.64 is: 191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.70 : 234.10 = 138.64 : x
  2. Step 2: Convert to fraction form
    169.70/234.10 = 138.64/x
  3. Step 3: Cross multiply
    169.70x = 234.10 × 138.64
  4. Step 4: Simplify right side
    169.70x = 32,455.62
  5. Step 5: Solve for x
    x = 32,455.62/169.70
  6. Step 6: Final answer
    x = 191.25

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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.