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Finding the Fourth Proportional to 167.70, 230.91 and 138.08

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Solution

The fourth proportional to 167.70, 230.91 and 138.08 is: 190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.70 : 230.91 = 138.08 : x
  2. Step 2: Convert to fraction form
    167.70/230.91 = 138.08/x
  3. Step 3: Cross multiply
    167.70x = 230.91 × 138.08
  4. Step 4: Simplify right side
    167.70x = 31,884.05
  5. Step 5: Solve for x
    x = 31,884.05/167.70
  6. Step 6: Final answer
    x = 190.13

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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.