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Finding the Fourth Proportional to 167.25, 249.37 and 158.07

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Solution

The fourth proportional to 167.25, 249.37 and 158.07 is: 235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.25 : 249.37 = 158.07 : x
  2. Step 2: Convert to fraction form
    167.25/249.37 = 158.07/x
  3. Step 3: Cross multiply
    167.25x = 249.37 × 158.07
  4. Step 4: Simplify right side
    167.25x = 39,417.52
  5. Step 5: Solve for x
    x = 39,417.52/167.25
  6. Step 6: Final answer
    x = 235.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.