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Finding the Fourth Proportional to 442.82, 664.12 and 130.38

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Solution

The fourth proportional to 442.82, 664.12 and 130.38 is: 195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.82 : 664.12 = 130.38 : x
  2. Step 2: Convert to fraction form
    442.82/664.12 = 130.38/x
  3. Step 3: Cross multiply
    442.82x = 664.12 × 130.38
  4. Step 4: Simplify right side
    442.82x = 86,591.61
  5. Step 5: Solve for x
    x = 86,591.61/442.82
  6. Step 6: Final answer
    x = 195.55

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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.