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Finding the Fourth Proportional to 298.52, 411.86 and 193.74

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Solution

The fourth proportional to 298.52, 411.86 and 193.74 is: 267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.52 : 411.86 = 193.74 : x
  2. Step 2: Convert to fraction form
    298.52/411.86 = 193.74/x
  3. Step 3: Cross multiply
    298.52x = 411.86 × 193.74
  4. Step 4: Simplify right side
    298.52x = 79,792.52
  5. Step 5: Solve for x
    x = 79,792.52/298.52
  6. Step 6: Final answer
    x = 267.29

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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.