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Finding the Fourth Proportional to 158.20, 218.20 and 123.24

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Solution

The fourth proportional to 158.20, 218.20 and 123.24 is: 169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.20 : 218.20 = 123.24 : x
  2. Step 2: Convert to fraction form
    158.20/218.20 = 123.24/x
  3. Step 3: Cross multiply
    158.20x = 218.20 × 123.24
  4. Step 4: Simplify right side
    158.20x = 26,890.97
  5. Step 5: Solve for x
    x = 26,890.97/158.20
  6. Step 6: Final answer
    x = 169.98

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