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Finding the Fourth Proportional to 296.09, 408.59 and 165.11

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Solution

The fourth proportional to 296.09, 408.59 and 165.11 is: 227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.09 : 408.59 = 165.11 : x
  2. Step 2: Convert to fraction form
    296.09/408.59 = 165.11/x
  3. Step 3: Cross multiply
    296.09x = 408.59 × 165.11
  4. Step 4: Simplify right side
    296.09x = 67,459.43
  5. Step 5: Solve for x
    x = 67,459.43/296.09
  6. Step 6: Final answer
    x = 227.84

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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.