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Finding the Fourth Proportional to 295.28, 442.89 and 198.89

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Solution

The fourth proportional to 295.28, 442.89 and 198.89 is: 298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.28 : 442.89 = 198.89 : x
  2. Step 2: Convert to fraction form
    295.28/442.89 = 198.89/x
  3. Step 3: Cross multiply
    295.28x = 442.89 × 198.89
  4. Step 4: Simplify right side
    295.28x = 88,086.39
  5. Step 5: Solve for x
    x = 88,086.39/295.28
  6. Step 6: Final answer
    x = 298.31

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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.