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Finding the Fourth Proportional to 167.02, 230.16 and 165.13

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Solution

The fourth proportional to 167.02, 230.16 and 165.13 is: 227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.02 : 230.16 = 165.13 : x
  2. Step 2: Convert to fraction form
    167.02/230.16 = 165.13/x
  3. Step 3: Cross multiply
    167.02x = 230.16 × 165.13
  4. Step 4: Simplify right side
    167.02x = 38,006.32
  5. Step 5: Solve for x
    x = 38,006.32/167.02
  6. Step 6: Final answer
    x = 227.56

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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.