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Finding the Fourth Proportional to 221.47, 331.84 and 160.32

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Solution

The fourth proportional to 221.47, 331.84 and 160.32 is: 240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.47 : 331.84 = 160.32 : x
  2. Step 2: Convert to fraction form
    221.47/331.84 = 160.32/x
  3. Step 3: Cross multiply
    221.47x = 331.84 × 160.32
  4. Step 4: Simplify right side
    221.47x = 53,200.59
  5. Step 5: Solve for x
    x = 53,200.59/221.47
  6. Step 6: Final answer
    x = 240.22

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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.