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Finding the Fourth Proportional to 167.00, 230.22 and 114.53

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Solution

The fourth proportional to 167.00, 230.22 and 114.53 is: 157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.00 : 230.22 = 114.53 : x
  2. Step 2: Convert to fraction form
    167.00/230.22 = 114.53/x
  3. Step 3: Cross multiply
    167.00x = 230.22 × 114.53
  4. Step 4: Simplify right side
    167.00x = 26,365.95
  5. Step 5: Solve for x
    x = 26,365.95/167.00
  6. Step 6: Final answer
    x = 157.88

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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.