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Finding the Fourth Proportional to 207.39, 286.35 and 142.05

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Solution

The fourth proportional to 207.39, 286.35 and 142.05 is: 196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.39 : 286.35 = 142.05 : x
  2. Step 2: Convert to fraction form
    207.39/286.35 = 142.05/x
  3. Step 3: Cross multiply
    207.39x = 286.35 × 142.05
  4. Step 4: Simplify right side
    207.39x = 40,676.02
  5. Step 5: Solve for x
    x = 40,676.02/207.39
  6. Step 6: Final answer
    x = 196.13

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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.