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Finding the Fourth Proportional to 167.29, 252.18 and 156.14

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Solution

The fourth proportional to 167.29, 252.18 and 156.14 is: 235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.29 : 252.18 = 156.14 : x
  2. Step 2: Convert to fraction form
    167.29/252.18 = 156.14/x
  3. Step 3: Cross multiply
    167.29x = 252.18 × 156.14
  4. Step 4: Simplify right side
    167.29x = 39,374.12
  5. Step 5: Solve for x
    x = 39,374.12/167.29
  6. Step 6: Final answer
    x = 235.37

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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.