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Finding the Fourth Proportional to 167.04, 252 and 158.04

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Solution

The fourth proportional to 167.04, 252 and 158.04 is: 238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.04 : 252 = 158.04 : x
  2. Step 2: Convert to fraction form
    167.04/252 = 158.04/x
  3. Step 3: Cross multiply
    167.04x = 252 × 158.04
  4. Step 4: Simplify right side
    167.04x = 39,826.08
  5. Step 5: Solve for x
    x = 39,826.08/167.04
  6. Step 6: Final answer
    x = 238.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.