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Finding the Fourth Proportional to 207.74, 286.26 and 202.07

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Solution

The fourth proportional to 207.74, 286.26 and 202.07 is: 278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.74 : 286.26 = 202.07 : x
  2. Step 2: Convert to fraction form
    207.74/286.26 = 202.07/x
  3. Step 3: Cross multiply
    207.74x = 286.26 × 202.07
  4. Step 4: Simplify right side
    207.74x = 57,844.56
  5. Step 5: Solve for x
    x = 57,844.56/207.74
  6. Step 6: Final answer
    x = 278.45

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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.