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Finding the Fourth Proportional to 216.82, 300.84 and 214.96

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Solution

The fourth proportional to 216.82, 300.84 and 214.96 is: 298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.82 : 300.84 = 214.96 : x
  2. Step 2: Convert to fraction form
    216.82/300.84 = 214.96/x
  3. Step 3: Cross multiply
    216.82x = 300.84 × 214.96
  4. Step 4: Simplify right side
    216.82x = 64,667.49
  5. Step 5: Solve for x
    x = 64,667.49/216.82
  6. Step 6: Final answer
    x = 298.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.