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Finding the Fourth Proportional to 207.56, 285.25 and 201.80

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Solution

The fourth proportional to 207.56, 285.25 and 201.80 is: 277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 285.25 = 201.80 : x
  2. Step 2: Convert to fraction form
    207.56/285.25 = 201.80/x
  3. Step 3: Cross multiply
    207.56x = 285.25 × 201.80
  4. Step 4: Simplify right side
    207.56x = 57,563.45
  5. Step 5: Solve for x
    x = 57,563.45/207.56
  6. Step 6: Final answer
    x = 277.33

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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.