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Finding the Fourth Proportional to 227.84, 340.28 and 215.42

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Solution

The fourth proportional to 227.84, 340.28 and 215.42 is: 321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.84 : 340.28 = 215.42 : x
  2. Step 2: Convert to fraction form
    227.84/340.28 = 215.42/x
  3. Step 3: Cross multiply
    227.84x = 340.28 × 215.42
  4. Step 4: Simplify right side
    227.84x = 73,303.12
  5. Step 5: Solve for x
    x = 73,303.12/227.84
  6. Step 6: Final answer
    x = 321.73

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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.