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Finding the Fourth Proportional to 218.32, 299.33 and 214.42

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Solution

The fourth proportional to 218.32, 299.33 and 214.42 is: 293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.32 : 299.33 = 214.42 : x
  2. Step 2: Convert to fraction form
    218.32/299.33 = 214.42/x
  3. Step 3: Cross multiply
    218.32x = 299.33 × 214.42
  4. Step 4: Simplify right side
    218.32x = 64,182.44
  5. Step 5: Solve for x
    x = 64,182.44/218.32
  6. Step 6: Final answer
    x = 293.98

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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.