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Finding the Fourth Proportional to 259.49, 389.74 and 201.83

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Solution

The fourth proportional to 259.49, 389.74 and 201.83 is: 303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.49 : 389.74 = 201.83 : x
  2. Step 2: Convert to fraction form
    259.49/389.74 = 201.83/x
  3. Step 3: Cross multiply
    259.49x = 389.74 × 201.83
  4. Step 4: Simplify right side
    259.49x = 78,661.22
  5. Step 5: Solve for x
    x = 78,661.22/259.49
  6. Step 6: Final answer
    x = 303.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.