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Finding the Fourth Proportional to 207.05, 283.97 and 182.45

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Solution

The fourth proportional to 207.05, 283.97 and 182.45 is: 250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.05 : 283.97 = 182.45 : x
  2. Step 2: Convert to fraction form
    207.05/283.97 = 182.45/x
  3. Step 3: Cross multiply
    207.05x = 283.97 × 182.45
  4. Step 4: Simplify right side
    207.05x = 51,809.36
  5. Step 5: Solve for x
    x = 51,809.36/207.05
  6. Step 6: Final answer
    x = 250.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.