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Finding the Fourth Proportional to 225.28, 337.56 and 203.68

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Solution

The fourth proportional to 225.28, 337.56 and 203.68 is: 305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.28 : 337.56 = 203.68 : x
  2. Step 2: Convert to fraction form
    225.28/337.56 = 203.68/x
  3. Step 3: Cross multiply
    225.28x = 337.56 × 203.68
  4. Step 4: Simplify right side
    225.28x = 68,754.22
  5. Step 5: Solve for x
    x = 68,754.22/225.28
  6. Step 6: Final answer
    x = 305.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.