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Finding the Fourth Proportional to 207.80, 286.78 and 137.74

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Solution

The fourth proportional to 207.80, 286.78 and 137.74 is: 190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.80 : 286.78 = 137.74 : x
  2. Step 2: Convert to fraction form
    207.80/286.78 = 137.74/x
  3. Step 3: Cross multiply
    207.80x = 286.78 × 137.74
  4. Step 4: Simplify right side
    207.80x = 39,499.64
  5. Step 5: Solve for x
    x = 39,499.64/207.80
  6. Step 6: Final answer
    x = 190.08

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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.