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Finding the Fourth Proportional to 268.40, 402.56 and 94.98

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Solution

The fourth proportional to 268.40, 402.56 and 94.98 is: 142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.40 : 402.56 = 94.98 : x
  2. Step 2: Convert to fraction form
    268.40/402.56 = 94.98/x
  3. Step 3: Cross multiply
    268.40x = 402.56 × 94.98
  4. Step 4: Simplify right side
    268.40x = 38,234.67
  5. Step 5: Solve for x
    x = 38,234.67/268.40
  6. Step 6: Final answer
    x = 142.46

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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.