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Finding the Fourth Proportional to 393.22, 589.84 and 149.71

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Solution

The fourth proportional to 393.22, 589.84 and 149.71 is: 224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.22 : 589.84 = 149.71 : x
  2. Step 2: Convert to fraction form
    393.22/589.84 = 149.71/x
  3. Step 3: Cross multiply
    393.22x = 589.84 × 149.71
  4. Step 4: Simplify right side
    393.22x = 88,304.95
  5. Step 5: Solve for x
    x = 88,304.95/393.22
  6. Step 6: Final answer
    x = 224.57

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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.