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Finding the Fourth Proportional to 394.14, 590.77 and 133.90

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Solution

The fourth proportional to 394.14, 590.77 and 133.90 is: 200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.14 : 590.77 = 133.90 : x
  2. Step 2: Convert to fraction form
    394.14/590.77 = 133.90/x
  3. Step 3: Cross multiply
    394.14x = 590.77 × 133.90
  4. Step 4: Simplify right side
    394.14x = 79,102.29
  5. Step 5: Solve for x
    x = 79,102.29/394.14
  6. Step 6: Final answer
    x = 200.70

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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.