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Finding the Fourth Proportional to 202.44, 278.85 and 155.73

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Solution

The fourth proportional to 202.44, 278.85 and 155.73 is: 214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.44 : 278.85 = 155.73 : x
  2. Step 2: Convert to fraction form
    202.44/278.85 = 155.73/x
  3. Step 3: Cross multiply
    202.44x = 278.85 × 155.73
  4. Step 4: Simplify right side
    202.44x = 43,425.31
  5. Step 5: Solve for x
    x = 43,425.31/202.44
  6. Step 6: Final answer
    x = 214.51

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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.