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Finding the Fourth Proportional to 297.94, 411.13 and 165.16

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Solution

The fourth proportional to 297.94, 411.13 and 165.16 is: 227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.94 : 411.13 = 165.16 : x
  2. Step 2: Convert to fraction form
    297.94/411.13 = 165.16/x
  3. Step 3: Cross multiply
    297.94x = 411.13 × 165.16
  4. Step 4: Simplify right side
    297.94x = 67,902.23
  5. Step 5: Solve for x
    x = 67,902.23/297.94
  6. Step 6: Final answer
    x = 227.91

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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.