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Finding the Fourth Proportional to 218.64, 326.16 and 207.84

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Solution

The fourth proportional to 218.64, 326.16 and 207.84 is: 310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.64 : 326.16 = 207.84 : x
  2. Step 2: Convert to fraction form
    218.64/326.16 = 207.84/x
  3. Step 3: Cross multiply
    218.64x = 326.16 × 207.84
  4. Step 4: Simplify right side
    218.64x = 67,789.09
  5. Step 5: Solve for x
    x = 67,789.09/218.64
  6. Step 6: Final answer
    x = 310.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.