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Finding the Fourth Proportional to 298.56, 447.86 and 106.14

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Solution

The fourth proportional to 298.56, 447.86 and 106.14 is: 159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.56 : 447.86 = 106.14 : x
  2. Step 2: Convert to fraction form
    298.56/447.86 = 106.14/x
  3. Step 3: Cross multiply
    298.56x = 447.86 × 106.14
  4. Step 4: Simplify right side
    298.56x = 47,535.86
  5. Step 5: Solve for x
    x = 47,535.86/298.56
  6. Step 6: Final answer
    x = 159.22

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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.