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Finding the Fourth Proportional to 207.81, 286.64 and 142.23

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Solution

The fourth proportional to 207.81, 286.64 and 142.23 is: 196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.81 : 286.64 = 142.23 : x
  2. Step 2: Convert to fraction form
    207.81/286.64 = 142.23/x
  3. Step 3: Cross multiply
    207.81x = 286.64 × 142.23
  4. Step 4: Simplify right side
    207.81x = 40,768.10
  5. Step 5: Solve for x
    x = 40,768.10/207.81
  6. Step 6: Final answer
    x = 196.18

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Why These Related Problems?

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