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Finding the Fourth Proportional to 220.56, 331.16 and 159.99

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Solution

The fourth proportional to 220.56, 331.16 and 159.99 is: 240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.56 : 331.16 = 159.99 : x
  2. Step 2: Convert to fraction form
    220.56/331.16 = 159.99/x
  3. Step 3: Cross multiply
    220.56x = 331.16 × 159.99
  4. Step 4: Simplify right side
    220.56x = 52,981.49
  5. Step 5: Solve for x
    x = 52,981.49/220.56
  6. Step 6: Final answer
    x = 240.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.