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Finding the Fourth Proportional to 288.20, 397.85 and 218.27

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Solution

The fourth proportional to 288.20, 397.85 and 218.27 is: 301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.20 : 397.85 = 218.27 : x
  2. Step 2: Convert to fraction form
    288.20/397.85 = 218.27/x
  3. Step 3: Cross multiply
    288.20x = 397.85 × 218.27
  4. Step 4: Simplify right side
    288.20x = 86,835.64
  5. Step 5: Solve for x
    x = 86,835.64/288.20
  6. Step 6: Final answer
    x = 301.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.