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Finding the Fourth Proportional to 158.29, 218.78 and 119.41

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Solution

The fourth proportional to 158.29, 218.78 and 119.41 is: 165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.29 : 218.78 = 119.41 : x
  2. Step 2: Convert to fraction form
    158.29/218.78 = 119.41/x
  3. Step 3: Cross multiply
    158.29x = 218.78 × 119.41
  4. Step 4: Simplify right side
    158.29x = 26,124.52
  5. Step 5: Solve for x
    x = 26,124.52/158.29
  6. Step 6: Final answer
    x = 165.04

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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.