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Finding the Fourth Proportional to 393, 589.14 and 149.46

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Solution

The fourth proportional to 393, 589.14 and 149.46 is: 224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393 : 589.14 = 149.46 : x
  2. Step 2: Convert to fraction form
    393/589.14 = 149.46/x
  3. Step 3: Cross multiply
    393x = 589.14 × 149.46
  4. Step 4: Simplify right side
    393x = 88,052.86
  5. Step 5: Solve for x
    x = 88,052.86/393
  6. Step 6: Final answer
    x = 224.05

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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.