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Finding the Fourth Proportional to 220.32, 302.10 and 217.44

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Solution

The fourth proportional to 220.32, 302.10 and 217.44 is: 298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.32 : 302.10 = 217.44 : x
  2. Step 2: Convert to fraction form
    220.32/302.10 = 217.44/x
  3. Step 3: Cross multiply
    220.32x = 302.10 × 217.44
  4. Step 4: Simplify right side
    220.32x = 65,688.62
  5. Step 5: Solve for x
    x = 65,688.62/220.32
  6. Step 6: Final answer
    x = 298.15

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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.