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Finding the Fourth Proportional to 393.57, 590.13 and 133.44

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Solution

The fourth proportional to 393.57, 590.13 and 133.44 is: 200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.57 : 590.13 = 133.44 : x
  2. Step 2: Convert to fraction form
    393.57/590.13 = 133.44/x
  3. Step 3: Cross multiply
    393.57x = 590.13 × 133.44
  4. Step 4: Simplify right side
    393.57x = 78,746.95
  5. Step 5: Solve for x
    x = 78,746.95/393.57
  6. Step 6: Final answer
    x = 200.08

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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.