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Finding the Fourth Proportional to 442.93, 664.40 and 186.61

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Solution

The fourth proportional to 442.93, 664.40 and 186.61 is: 279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.93 : 664.40 = 186.61 : x
  2. Step 2: Convert to fraction form
    442.93/664.40 = 186.61/x
  3. Step 3: Cross multiply
    442.93x = 664.40 × 186.61
  4. Step 4: Simplify right side
    442.93x = 123,983.68
  5. Step 5: Solve for x
    x = 123,983.68/442.93
  6. Step 6: Final answer
    x = 279.92

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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.