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Finding the Fourth Proportional to 298.24, 411.76 and 193.38

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Solution

The fourth proportional to 298.24, 411.76 and 193.38 is: 266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.24 : 411.76 = 193.38 : x
  2. Step 2: Convert to fraction form
    298.24/411.76 = 193.38/x
  3. Step 3: Cross multiply
    298.24x = 411.76 × 193.38
  4. Step 4: Simplify right side
    298.24x = 79,626.15
  5. Step 5: Solve for x
    x = 79,626.15/298.24
  6. Step 6: Final answer
    x = 266.99

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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.