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Finding the Fourth Proportional to 207.31, 286.10 and 137.24

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Solution

The fourth proportional to 207.31, 286.10 and 137.24 is: 189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.31 : 286.10 = 137.24 : x
  2. Step 2: Convert to fraction form
    207.31/286.10 = 137.24/x
  3. Step 3: Cross multiply
    207.31x = 286.10 × 137.24
  4. Step 4: Simplify right side
    207.31x = 39,264.36
  5. Step 5: Solve for x
    x = 39,264.36/207.31
  6. Step 6: Final answer
    x = 189.40

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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.