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Finding the Fourth Proportional to 216.48, 322.24 and 207.44

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Solution

The fourth proportional to 216.48, 322.24 and 207.44 is: 308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.48 : 322.24 = 207.44 : x
  2. Step 2: Convert to fraction form
    216.48/322.24 = 207.44/x
  3. Step 3: Cross multiply
    216.48x = 322.24 × 207.44
  4. Step 4: Simplify right side
    216.48x = 66,845.47
  5. Step 5: Solve for x
    x = 66,845.47/216.48
  6. Step 6: Final answer
    x = 308.78

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Why These Related Problems?

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