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Finding the Fourth Proportional to 160.79, 222.80 and 158.81

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Solution

The fourth proportional to 160.79, 222.80 and 158.81 is: 220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.79 : 222.80 = 158.81 : x
  2. Step 2: Convert to fraction form
    160.79/222.80 = 158.81/x
  3. Step 3: Cross multiply
    160.79x = 222.80 × 158.81
  4. Step 4: Simplify right side
    160.79x = 35,380.96
  5. Step 5: Solve for x
    x = 35,380.96/160.79
  6. Step 6: Final answer
    x = 220.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.