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Finding the Fourth Proportional to 268.01, 402.02 and 105.69

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Solution

The fourth proportional to 268.01, 402.02 and 105.69 is: 158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.01 : 402.02 = 105.69 : x
  2. Step 2: Convert to fraction form
    268.01/402.02 = 105.69/x
  3. Step 3: Cross multiply
    268.01x = 402.02 × 105.69
  4. Step 4: Simplify right side
    268.01x = 42,488.97
  5. Step 5: Solve for x
    x = 42,488.97/268.01
  6. Step 6: Final answer
    x = 158.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.