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Finding the Fourth Proportional to 215.08, 322 and 163.94

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Solution

The fourth proportional to 215.08, 322 and 163.94 is: 245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.08 : 322 = 163.94 : x
  2. Step 2: Convert to fraction form
    215.08/322 = 163.94/x
  3. Step 3: Cross multiply
    215.08x = 322 × 163.94
  4. Step 4: Simplify right side
    215.08x = 52,788.68
  5. Step 5: Solve for x
    x = 52,788.68/215.08
  6. Step 6: Final answer
    x = 245.44

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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.