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Finding the Fourth Proportional to 296.14, 408.67 and 165.14

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Solution

The fourth proportional to 296.14, 408.67 and 165.14 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.14 : 408.67 = 165.14 : x
  2. Step 2: Convert to fraction form
    296.14/408.67 = 165.14/x
  3. Step 3: Cross multiply
    296.14x = 408.67 × 165.14
  4. Step 4: Simplify right side
    296.14x = 67,488.37
  5. Step 5: Solve for x
    x = 67,488.37/296.14
  6. Step 6: Final answer
    x = 227.90

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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.