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Finding the Fourth Proportional to 203.68, 280.56 and 190.24

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Solution

The fourth proportional to 203.68, 280.56 and 190.24 is: 262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.68 : 280.56 = 190.24 : x
  2. Step 2: Convert to fraction form
    203.68/280.56 = 190.24/x
  3. Step 3: Cross multiply
    203.68x = 280.56 × 190.24
  4. Step 4: Simplify right side
    203.68x = 53,373.73
  5. Step 5: Solve for x
    x = 53,373.73/203.68
  6. Step 6: Final answer
    x = 262.05

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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.