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Finding the Fourth Proportional to 389.38, 584.25 and 133.06

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Solution

The fourth proportional to 389.38, 584.25 and 133.06 is: 199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.38 : 584.25 = 133.06 : x
  2. Step 2: Convert to fraction form
    389.38/584.25 = 133.06/x
  3. Step 3: Cross multiply
    389.38x = 584.25 × 133.06
  4. Step 4: Simplify right side
    389.38x = 77,736.72
  5. Step 5: Solve for x
    x = 77,736.72/389.38
  6. Step 6: Final answer
    x = 199.64

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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.