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Finding the Fourth Proportional to 221.82, 306.34 and 156.20

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Solution

The fourth proportional to 221.82, 306.34 and 156.20 is: 215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.82 : 306.34 = 156.20 : x
  2. Step 2: Convert to fraction form
    221.82/306.34 = 156.20/x
  3. Step 3: Cross multiply
    221.82x = 306.34 × 156.20
  4. Step 4: Simplify right side
    221.82x = 47,850.31
  5. Step 5: Solve for x
    x = 47,850.31/221.82
  6. Step 6: Final answer
    x = 215.72

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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.