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Finding the Fourth Proportional to 268.05, 402.10 and 75.67

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Solution

The fourth proportional to 268.05, 402.10 and 75.67 is: 113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.05 : 402.10 = 75.67 : x
  2. Step 2: Convert to fraction form
    268.05/402.10 = 75.67/x
  3. Step 3: Cross multiply
    268.05x = 402.10 × 75.67
  4. Step 4: Simplify right side
    268.05x = 30,426.91
  5. Step 5: Solve for x
    x = 30,426.91/268.05
  6. Step 6: Final answer
    x = 113.51

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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.