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Finding the Fourth Proportional to 220.05, 300.98 and 216.81

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Solution

The fourth proportional to 220.05, 300.98 and 216.81 is: 296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.05 : 300.98 = 216.81 : x
  2. Step 2: Convert to fraction form
    220.05/300.98 = 216.81/x
  3. Step 3: Cross multiply
    220.05x = 300.98 × 216.81
  4. Step 4: Simplify right side
    220.05x = 65,256.02
  5. Step 5: Solve for x
    x = 65,256.02/220.05
  6. Step 6: Final answer
    x = 296.55

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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.