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Finding the Fourth Proportional to 225.22, 335.75 and 221.71

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Solution

The fourth proportional to 225.22, 335.75 and 221.71 is: 330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.22 : 335.75 = 221.71 : x
  2. Step 2: Convert to fraction form
    225.22/335.75 = 221.71/x
  3. Step 3: Cross multiply
    225.22x = 335.75 × 221.71
  4. Step 4: Simplify right side
    225.22x = 74,439.13
  5. Step 5: Solve for x
    x = 74,439.13/225.22
  6. Step 6: Final answer
    x = 330.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.