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Finding the Fourth Proportional to 207.52, 286.46 and 142.06

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Solution

The fourth proportional to 207.52, 286.46 and 142.06 is: 196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.52 : 286.46 = 142.06 : x
  2. Step 2: Convert to fraction form
    207.52/286.46 = 142.06/x
  3. Step 3: Cross multiply
    207.52x = 286.46 × 142.06
  4. Step 4: Simplify right side
    207.52x = 40,694.51
  5. Step 5: Solve for x
    x = 40,694.51/207.52
  6. Step 6: Final answer
    x = 196.10

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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.