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Finding the Fourth Proportional to 305.89, 422.28 and 201.13

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Solution

The fourth proportional to 305.89, 422.28 and 201.13 is: 277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.89 : 422.28 = 201.13 : x
  2. Step 2: Convert to fraction form
    305.89/422.28 = 201.13/x
  3. Step 3: Cross multiply
    305.89x = 422.28 × 201.13
  4. Step 4: Simplify right side
    305.89x = 84,932.12
  5. Step 5: Solve for x
    x = 84,932.12/305.89
  6. Step 6: Final answer
    x = 277.66

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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.