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Finding the Fourth Proportional to 268.23, 402.29 and 75.81

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Solution

The fourth proportional to 268.23, 402.29 and 75.81 is: 113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.23 : 402.29 = 75.81 : x
  2. Step 2: Convert to fraction form
    268.23/402.29 = 75.81/x
  3. Step 3: Cross multiply
    268.23x = 402.29 × 75.81
  4. Step 4: Simplify right side
    268.23x = 30,497.60
  5. Step 5: Solve for x
    x = 30,497.60/268.23
  6. Step 6: Final answer
    x = 113.70

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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.