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Finding the Fourth Proportional to 272.89, 409.33 and 77.89

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Solution

The fourth proportional to 272.89, 409.33 and 77.89 is: 116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.89 : 409.33 = 77.89 : x
  2. Step 2: Convert to fraction form
    272.89/409.33 = 77.89/x
  3. Step 3: Cross multiply
    272.89x = 409.33 × 77.89
  4. Step 4: Simplify right side
    272.89x = 31,883.93
  5. Step 5: Solve for x
    x = 31,883.93/272.89
  6. Step 6: Final answer
    x = 116.84

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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.