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Finding the Fourth Proportional to 215.20, 297.11 and 165.03

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Solution

The fourth proportional to 215.20, 297.11 and 165.03 is: 227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.20 : 297.11 = 165.03 : x
  2. Step 2: Convert to fraction form
    215.20/297.11 = 165.03/x
  3. Step 3: Cross multiply
    215.20x = 297.11 × 165.03
  4. Step 4: Simplify right side
    215.20x = 49,032.06
  5. Step 5: Solve for x
    x = 49,032.06/215.20
  6. Step 6: Final answer
    x = 227.84

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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.