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Finding the Fourth Proportional to 591.14, 886.82 and 201.12

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Solution

The fourth proportional to 591.14, 886.82 and 201.12 is: 301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.14 : 886.82 = 201.12 : x
  2. Step 2: Convert to fraction form
    591.14/886.82 = 201.12/x
  3. Step 3: Cross multiply
    591.14x = 886.82 × 201.12
  4. Step 4: Simplify right side
    591.14x = 178,355.40
  5. Step 5: Solve for x
    x = 178,355.40/591.14
  6. Step 6: Final answer
    x = 301.71

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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.