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Finding the Fourth Proportional to 442.83, 664.25 and 118.17

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Solution

The fourth proportional to 442.83, 664.25 and 118.17 is: 177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.83 : 664.25 = 118.17 : x
  2. Step 2: Convert to fraction form
    442.83/664.25 = 118.17/x
  3. Step 3: Cross multiply
    442.83x = 664.25 × 118.17
  4. Step 4: Simplify right side
    442.83x = 78,493.83
  5. Step 5: Solve for x
    x = 78,493.83/442.83
  6. Step 6: Final answer
    x = 177.26

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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.