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Finding the Fourth Proportional to 270.24, 406 and 185.12

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Solution

The fourth proportional to 270.24, 406 and 185.12 is: 278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.24 : 406 = 185.12 : x
  2. Step 2: Convert to fraction form
    270.24/406 = 185.12/x
  3. Step 3: Cross multiply
    270.24x = 406 × 185.12
  4. Step 4: Simplify right side
    270.24x = 75,158.72
  5. Step 5: Solve for x
    x = 75,158.72/270.24
  6. Step 6: Final answer
    x = 278.12

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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.