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Finding the Fourth Proportional to 296.21, 408.67 and 165.19

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Solution

The fourth proportional to 296.21, 408.67 and 165.19 is: 227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.21 : 408.67 = 165.19 : x
  2. Step 2: Convert to fraction form
    296.21/408.67 = 165.19/x
  3. Step 3: Cross multiply
    296.21x = 408.67 × 165.19
  4. Step 4: Simplify right side
    296.21x = 67,507.99
  5. Step 5: Solve for x
    x = 67,507.99/296.21
  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.