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Finding the Fourth Proportional to 296.39, 409.05 and 165.43

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Solution

The fourth proportional to 296.39, 409.05 and 165.43 is: 228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.39 : 409.05 = 165.43 : x
  2. Step 2: Convert to fraction form
    296.39/409.05 = 165.43/x
  3. Step 3: Cross multiply
    296.39x = 409.05 × 165.43
  4. Step 4: Simplify right side
    296.39x = 67,669.14
  5. Step 5: Solve for x
    x = 67,669.14/296.39
  6. Step 6: Final answer
    x = 228.31

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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.