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Finding the Fourth Proportional to 270.67, 405.91 and 75.62

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Solution

The fourth proportional to 270.67, 405.91 and 75.62 is: 113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.67 : 405.91 = 75.62 : x
  2. Step 2: Convert to fraction form
    270.67/405.91 = 75.62/x
  3. Step 3: Cross multiply
    270.67x = 405.91 × 75.62
  4. Step 4: Simplify right side
    270.67x = 30,694.91
  5. Step 5: Solve for x
    x = 30,694.91/270.67
  6. Step 6: Final answer
    x = 113.40

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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.