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Finding the Fourth Proportional to 167.76, 230.13 and 164.16

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Solution

The fourth proportional to 167.76, 230.13 and 164.16 is: 225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.76 : 230.13 = 164.16 : x
  2. Step 2: Convert to fraction form
    167.76/230.13 = 164.16/x
  3. Step 3: Cross multiply
    167.76x = 230.13 × 164.16
  4. Step 4: Simplify right side
    167.76x = 37,778.14
  5. Step 5: Solve for x
    x = 37,778.14/167.76
  6. Step 6: Final answer
    x = 225.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.