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Finding the Fourth Proportional to 259.88, 358.83 and 201.56

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Solution

The fourth proportional to 259.88, 358.83 and 201.56 is: 278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.88 : 358.83 = 201.56 : x
  2. Step 2: Convert to fraction form
    259.88/358.83 = 201.56/x
  3. Step 3: Cross multiply
    259.88x = 358.83 × 201.56
  4. Step 4: Simplify right side
    259.88x = 72,323.98
  5. Step 5: Solve for x
    x = 72,323.98/259.88
  6. Step 6: Final answer
    x = 278.30

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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.