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Finding the Fourth Proportional to 298.47, 447.71 and 106.09

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Solution

The fourth proportional to 298.47, 447.71 and 106.09 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.47 : 447.71 = 106.09 : x
  2. Step 2: Convert to fraction form
    298.47/447.71 = 106.09/x
  3. Step 3: Cross multiply
    298.47x = 447.71 × 106.09
  4. Step 4: Simplify right side
    298.47x = 47,497.55
  5. Step 5: Solve for x
    x = 47,497.55/298.47
  6. Step 6: Final answer
    x = 159.14

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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.