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Finding the Fourth Proportional to 311.54, 429.84 and 201.05

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Solution

The fourth proportional to 311.54, 429.84 and 201.05 is: 277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.54 : 429.84 = 201.05 : x
  2. Step 2: Convert to fraction form
    311.54/429.84 = 201.05/x
  3. Step 3: Cross multiply
    311.54x = 429.84 × 201.05
  4. Step 4: Simplify right side
    311.54x = 86,419.33
  5. Step 5: Solve for x
    x = 86,419.33/311.54
  6. Step 6: Final answer
    x = 277.39

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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.