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Finding the Fourth Proportional to 167.36, 230.71 and 112.00

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Solution

The fourth proportional to 167.36, 230.71 and 112.00 is: 154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.36 : 230.71 = 112.00 : x
  2. Step 2: Convert to fraction form
    167.36/230.71 = 112.00/x
  3. Step 3: Cross multiply
    167.36x = 230.71 × 112.00
  4. Step 4: Simplify right side
    167.36x = 25,839.46
  5. Step 5: Solve for x
    x = 25,839.46/167.36
  6. Step 6: Final answer
    x = 154.40

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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.