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Finding the Fourth Proportional to 158.16, 218.22 and 102.78

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Solution

The fourth proportional to 158.16, 218.22 and 102.78 is: 141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.16 : 218.22 = 102.78 : x
  2. Step 2: Convert to fraction form
    158.16/218.22 = 102.78/x
  3. Step 3: Cross multiply
    158.16x = 218.22 × 102.78
  4. Step 4: Simplify right side
    158.16x = 22,428.65
  5. Step 5: Solve for x
    x = 22,428.65/158.16
  6. Step 6: Final answer
    x = 141.81

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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.