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Finding the Fourth Proportional to 270.89, 406.35 and 75.89

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Solution

The fourth proportional to 270.89, 406.35 and 75.89 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.89 : 406.35 = 75.89 : x
  2. Step 2: Convert to fraction form
    270.89/406.35 = 75.89/x
  3. Step 3: Cross multiply
    270.89x = 406.35 × 75.89
  4. Step 4: Simplify right side
    270.89x = 30,836.63
  5. Step 5: Solve for x
    x = 30,836.63/270.89
  6. Step 6: Final answer
    x = 113.83

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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.