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Finding the Fourth Proportional to 311.73, 430.03 and 201.39

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Solution

The fourth proportional to 311.73, 430.03 and 201.39 is: 277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.73 : 430.03 = 201.39 : x
  2. Step 2: Convert to fraction form
    311.73/430.03 = 201.39/x
  3. Step 3: Cross multiply
    311.73x = 430.03 × 201.39
  4. Step 4: Simplify right side
    311.73x = 86,603.74
  5. Step 5: Solve for x
    x = 86,603.74/311.73
  6. Step 6: Final answer
    x = 277.82

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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.