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Finding the Fourth Proportional to 270.02, 372.78 and 204.86

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Solution

The fourth proportional to 270.02, 372.78 and 204.86 is: 282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.02 : 372.78 = 204.86 : x
  2. Step 2: Convert to fraction form
    270.02/372.78 = 204.86/x
  3. Step 3: Cross multiply
    270.02x = 372.78 × 204.86
  4. Step 4: Simplify right side
    270.02x = 76,367.71
  5. Step 5: Solve for x
    x = 76,367.71/270.02
  6. Step 6: Final answer
    x = 282.82

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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.