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Finding the Fourth Proportional to 158.26, 218.42 and 121.41

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Solution

The fourth proportional to 158.26, 218.42 and 121.41 is: 167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.26 : 218.42 = 121.41 : x
  2. Step 2: Convert to fraction form
    158.26/218.42 = 121.41/x
  3. Step 3: Cross multiply
    158.26x = 218.42 × 121.41
  4. Step 4: Simplify right side
    158.26x = 26,518.37
  5. Step 5: Solve for x
    x = 26,518.37/158.26
  6. Step 6: Final answer
    x = 167.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.