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Finding the Fourth Proportional to 393.31, 589.97 and 149.77

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Solution

The fourth proportional to 393.31, 589.97 and 149.77 is: 224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.31 : 589.97 = 149.77 : x
  2. Step 2: Convert to fraction form
    393.31/589.97 = 149.77/x
  3. Step 3: Cross multiply
    393.31x = 589.97 × 149.77
  4. Step 4: Simplify right side
    393.31x = 88,359.81
  5. Step 5: Solve for x
    x = 88,359.81/393.31
  6. Step 6: Final answer
    x = 224.66

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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.