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Finding the Fourth Proportional to 298.25, 447.38 and 105.88

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Solution

The fourth proportional to 298.25, 447.38 and 105.88 is: 158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.25 : 447.38 = 105.88 : x
  2. Step 2: Convert to fraction form
    298.25/447.38 = 105.88/x
  3. Step 3: Cross multiply
    298.25x = 447.38 × 105.88
  4. Step 4: Simplify right side
    298.25x = 47,368.59
  5. Step 5: Solve for x
    x = 47,368.59/298.25
  6. Step 6: Final answer
    x = 158.82

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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.