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Finding the Fourth Proportional to 295.97, 442.80 and 192.42

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Solution

The fourth proportional to 295.97, 442.80 and 192.42 is: 287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.97 : 442.80 = 192.42 : x
  2. Step 2: Convert to fraction form
    295.97/442.80 = 192.42/x
  3. Step 3: Cross multiply
    295.97x = 442.80 × 192.42
  4. Step 4: Simplify right side
    295.97x = 85,203.58
  5. Step 5: Solve for x
    x = 85,203.58/295.97
  6. Step 6: Final answer
    x = 287.88

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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.