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Finding the Fourth Proportional to 298.71, 411.85 and 193.62

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Solution

The fourth proportional to 298.71, 411.85 and 193.62 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.71 : 411.85 = 193.62 : x
  2. Step 2: Convert to fraction form
    298.71/411.85 = 193.62/x
  3. Step 3: Cross multiply
    298.71x = 411.85 × 193.62
  4. Step 4: Simplify right side
    298.71x = 79,742.40
  5. Step 5: Solve for x
    x = 79,742.40/298.71
  6. Step 6: Final answer
    x = 266.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.