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Finding the Fourth Proportional to 393.85, 591.04 and 137.35

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Solution

The fourth proportional to 393.85, 591.04 and 137.35 is: 206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.85 : 591.04 = 137.35 : x
  2. Step 2: Convert to fraction form
    393.85/591.04 = 137.35/x
  3. Step 3: Cross multiply
    393.85x = 591.04 × 137.35
  4. Step 4: Simplify right side
    393.85x = 81,177.52
  5. Step 5: Solve for x
    x = 81,177.52/393.85
  6. Step 6: Final answer
    x = 206.11

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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.