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Finding the Fourth Proportional to 223.78, 333.47 and 216.44

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Solution

The fourth proportional to 223.78, 333.47 and 216.44 is: 322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.78 : 333.47 = 216.44 : x
  2. Step 2: Convert to fraction form
    223.78/333.47 = 216.44/x
  3. Step 3: Cross multiply
    223.78x = 333.47 × 216.44
  4. Step 4: Simplify right side
    223.78x = 72,176.25
  5. Step 5: Solve for x
    x = 72,176.25/223.78
  6. Step 6: Final answer
    x = 322.53

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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.