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Finding the Fourth Proportional to 217.60, 297.72 and 216.96

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Solution

The fourth proportional to 217.60, 297.72 and 216.96 is: 296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.60 : 297.72 = 216.96 : x
  2. Step 2: Convert to fraction form
    217.60/297.72 = 216.96/x
  3. Step 3: Cross multiply
    217.60x = 297.72 × 216.96
  4. Step 4: Simplify right side
    217.60x = 64,593.33
  5. Step 5: Solve for x
    x = 64,593.33/217.60
  6. Step 6: Final answer
    x = 296.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.