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Finding the Fourth Proportional to 207.71, 286.67 and 142.35

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Solution

The fourth proportional to 207.71, 286.67 and 142.35 is: 196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.71 : 286.67 = 142.35 : x
  2. Step 2: Convert to fraction form
    207.71/286.67 = 142.35/x
  3. Step 3: Cross multiply
    207.71x = 286.67 × 142.35
  4. Step 4: Simplify right side
    207.71x = 40,807.47
  5. Step 5: Solve for x
    x = 40,807.47/207.71
  6. Step 6: Final answer
    x = 196.46

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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.