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Finding the Fourth Proportional to 867.81, 1,301.62 and 218.55

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Solution

The fourth proportional to 867.81, 1,301.62 and 218.55 is: 327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.81 : 1,301.62 = 218.55 : x
  2. Step 2: Convert to fraction form
    867.81/1,301.62 = 218.55/x
  3. Step 3: Cross multiply
    867.81x = 1,301.62 × 218.55
  4. Step 4: Simplify right side
    867.81x = 284,469.05
  5. Step 5: Solve for x
    x = 284,469.05/867.81
  6. Step 6: Final answer
    x = 327.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.