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Finding the Fourth Proportional to 158.41, 218.24 and 130.61

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Solution

The fourth proportional to 158.41, 218.24 and 130.61 is: 179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.41 : 218.24 = 130.61 : x
  2. Step 2: Convert to fraction form
    158.41/218.24 = 130.61/x
  3. Step 3: Cross multiply
    158.41x = 218.24 × 130.61
  4. Step 4: Simplify right side
    158.41x = 28,505.44
  5. Step 5: Solve for x
    x = 28,505.44/158.41
  6. Step 6: Final answer
    x = 179.95

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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.