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Finding the Fourth Proportional to 393.68, 590.16 and 137.04

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Solution

The fourth proportional to 393.68, 590.16 and 137.04 is: 205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.68 : 590.16 = 137.04 : x
  2. Step 2: Convert to fraction form
    393.68/590.16 = 137.04/x
  3. Step 3: Cross multiply
    393.68x = 590.16 × 137.04
  4. Step 4: Simplify right side
    393.68x = 80,875.53
  5. Step 5: Solve for x
    x = 80,875.53/393.68
  6. Step 6: Final answer
    x = 205.43

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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.