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Finding the Fourth Proportional to 270.78, 374.13 and 205.62

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Solution

The fourth proportional to 270.78, 374.13 and 205.62 is: 284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.78 : 374.13 = 205.62 : x
  2. Step 2: Convert to fraction form
    270.78/374.13 = 205.62/x
  3. Step 3: Cross multiply
    270.78x = 374.13 × 205.62
  4. Step 4: Simplify right side
    270.78x = 76,928.61
  5. Step 5: Solve for x
    x = 76,928.61/270.78
  6. Step 6: Final answer
    x = 284.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.