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Finding the Fourth Proportional to 298.46, 447.82 and 161.35

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Solution

The fourth proportional to 298.46, 447.82 and 161.35 is: 242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.46 : 447.82 = 161.35 : x
  2. Step 2: Convert to fraction form
    298.46/447.82 = 161.35/x
  3. Step 3: Cross multiply
    298.46x = 447.82 × 161.35
  4. Step 4: Simplify right side
    298.46x = 72,252.71
  5. Step 5: Solve for x
    x = 72,252.71/298.46
  6. Step 6: Final answer
    x = 242.09

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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.