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Finding the Fourth Proportional to 218.13, 325.61 and 201.86

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Solution

The fourth proportional to 218.13, 325.61 and 201.86 is: 301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.13 : 325.61 = 201.86 : x
  2. Step 2: Convert to fraction form
    218.13/325.61 = 201.86/x
  3. Step 3: Cross multiply
    218.13x = 325.61 × 201.86
  4. Step 4: Simplify right side
    218.13x = 65,727.44
  5. Step 5: Solve for x
    x = 65,727.44/218.13
  6. Step 6: Final answer
    x = 301.32

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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.