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Finding the Fourth Proportional to 167.32, 251.14 and 126.64

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Solution

The fourth proportional to 167.32, 251.14 and 126.64 is: 190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.32 : 251.14 = 126.64 : x
  2. Step 2: Convert to fraction form
    167.32/251.14 = 126.64/x
  3. Step 3: Cross multiply
    167.32x = 251.14 × 126.64
  4. Step 4: Simplify right side
    167.32x = 31,804.37
  5. Step 5: Solve for x
    x = 31,804.37/167.32
  6. Step 6: Final answer
    x = 190.08

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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.