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Finding the Fourth Proportional to 270.17, 372 and 203.88

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Solution

The fourth proportional to 270.17, 372 and 203.88 is: 280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.17 : 372 = 203.88 : x
  2. Step 2: Convert to fraction form
    270.17/372 = 203.88/x
  3. Step 3: Cross multiply
    270.17x = 372 × 203.88
  4. Step 4: Simplify right side
    270.17x = 75,843.36
  5. Step 5: Solve for x
    x = 75,843.36/270.17
  6. Step 6: Final answer
    x = 280.72

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