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Finding the Fourth Proportional to 215.22, 297.24 and 165.99

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Solution

The fourth proportional to 215.22, 297.24 and 165.99 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.22 : 297.24 = 165.99 : x
  2. Step 2: Convert to fraction form
    215.22/297.24 = 165.99/x
  3. Step 3: Cross multiply
    215.22x = 297.24 × 165.99
  4. Step 4: Simplify right side
    215.22x = 49,338.87
  5. Step 5: Solve for x
    x = 49,338.87/215.22
  6. Step 6: Final answer
    x = 229.25

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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.