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Finding the Fourth Proportional to 218.18, 302.24 and 213.86

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Solution

The fourth proportional to 218.18, 302.24 and 213.86 is: 296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.18 : 302.24 = 213.86 : x
  2. Step 2: Convert to fraction form
    218.18/302.24 = 213.86/x
  3. Step 3: Cross multiply
    218.18x = 302.24 × 213.86
  4. Step 4: Simplify right side
    218.18x = 64,637.05
  5. Step 5: Solve for x
    x = 64,637.05/218.18
  6. Step 6: Final answer
    x = 296.26

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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.