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Finding the Fourth Proportional to 167.66, 251.55 and 76.36

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Solution

The fourth proportional to 167.66, 251.55 and 76.36 is: 114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.66 : 251.55 = 76.36 : x
  2. Step 2: Convert to fraction form
    167.66/251.55 = 76.36/x
  3. Step 3: Cross multiply
    167.66x = 251.55 × 76.36
  4. Step 4: Simplify right side
    167.66x = 19,208.36
  5. Step 5: Solve for x
    x = 19,208.36/167.66
  6. Step 6: Final answer
    x = 114.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.