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Finding the Fourth Proportional to 591.26, 886.68 and 201.20

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Solution

The fourth proportional to 591.26, 886.68 and 201.20 is: 301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.26 : 886.68 = 201.20 : x
  2. Step 2: Convert to fraction form
    591.26/886.68 = 201.20/x
  3. Step 3: Cross multiply
    591.26x = 886.68 × 201.20
  4. Step 4: Simplify right side
    591.26x = 178,400.02
  5. Step 5: Solve for x
    x = 178,400.02/591.26
  6. Step 6: Final answer
    x = 301.73

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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.