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Finding the Fourth Proportional to 202.11, 278.78 and 160.60

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Solution

The fourth proportional to 202.11, 278.78 and 160.60 is: 221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.11 : 278.78 = 160.60 : x
  2. Step 2: Convert to fraction form
    202.11/278.78 = 160.60/x
  3. Step 3: Cross multiply
    202.11x = 278.78 × 160.60
  4. Step 4: Simplify right side
    202.11x = 44,770.57
  5. Step 5: Solve for x
    x = 44,770.57/202.11
  6. Step 6: Final answer
    x = 221.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.