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Finding the Fourth Proportional to 218.20, 325.05 and 207.64

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Solution

The fourth proportional to 218.20, 325.05 and 207.64 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.20 : 325.05 = 207.64 : x
  2. Step 2: Convert to fraction form
    218.20/325.05 = 207.64/x
  3. Step 3: Cross multiply
    218.20x = 325.05 × 207.64
  4. Step 4: Simplify right side
    218.20x = 67,493.38
  5. Step 5: Solve for x
    x = 67,493.38/218.20
  6. Step 6: Final answer
    x = 309.32

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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.