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Finding the Fourth Proportional to 296.34, 408.92 and 165.36

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Solution

The fourth proportional to 296.34, 408.92 and 165.36 is: 228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.34 : 408.92 = 165.36 : x
  2. Step 2: Convert to fraction form
    296.34/408.92 = 165.36/x
  3. Step 3: Cross multiply
    296.34x = 408.92 × 165.36
  4. Step 4: Simplify right side
    296.34x = 67,619.01
  5. Step 5: Solve for x
    x = 67,619.01/296.34
  6. Step 6: Final answer
    x = 228.18

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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.