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Finding the Fourth Proportional to 167.64, 251.40 and 76.24

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Solution

The fourth proportional to 167.64, 251.40 and 76.24 is: 114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.64 : 251.40 = 76.24 : x
  2. Step 2: Convert to fraction form
    167.64/251.40 = 76.24/x
  3. Step 3: Cross multiply
    167.64x = 251.40 × 76.24
  4. Step 4: Simplify right side
    167.64x = 19,166.74
  5. Step 5: Solve for x
    x = 19,166.74/167.64
  6. Step 6: Final answer
    x = 114.33

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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.