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Finding the Fourth Proportional to 226.68, 337.64 and 216.16

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Solution

The fourth proportional to 226.68, 337.64 and 216.16 is: 321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.68 : 337.64 = 216.16 : x
  2. Step 2: Convert to fraction form
    226.68/337.64 = 216.16/x
  3. Step 3: Cross multiply
    226.68x = 337.64 × 216.16
  4. Step 4: Simplify right side
    226.68x = 72,984.26
  5. Step 5: Solve for x
    x = 72,984.26/226.68
  6. Step 6: Final answer
    x = 321.97

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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.