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Finding the Fourth Proportional to 298.12, 447.24 and 105.76

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Solution

The fourth proportional to 298.12, 447.24 and 105.76 is: 158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.12 : 447.24 = 105.76 : x
  2. Step 2: Convert to fraction form
    298.12/447.24 = 105.76/x
  3. Step 3: Cross multiply
    298.12x = 447.24 × 105.76
  4. Step 4: Simplify right side
    298.12x = 47,300.10
  5. Step 5: Solve for x
    x = 47,300.10/298.12
  6. Step 6: Final answer
    x = 158.66

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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.