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Finding the Fourth Proportional to 202.78, 279.87 and 125.14

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Solution

The fourth proportional to 202.78, 279.87 and 125.14 is: 172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.78 : 279.87 = 125.14 : x
  2. Step 2: Convert to fraction form
    202.78/279.87 = 125.14/x
  3. Step 3: Cross multiply
    202.78x = 279.87 × 125.14
  4. Step 4: Simplify right side
    202.78x = 35,022.93
  5. Step 5: Solve for x
    x = 35,022.93/202.78
  6. Step 6: Final answer
    x = 172.71

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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.