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Finding the Fourth Proportional to 167.16, 251.04 and 109.50

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Solution

The fourth proportional to 167.16, 251.04 and 109.50 is: 164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.16 : 251.04 = 109.50 : x
  2. Step 2: Convert to fraction form
    167.16/251.04 = 109.50/x
  3. Step 3: Cross multiply
    167.16x = 251.04 × 109.50
  4. Step 4: Simplify right side
    167.16x = 27,488.88
  5. Step 5: Solve for x
    x = 27,488.88/167.16
  6. Step 6: Final answer
    x = 164.45

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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.