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Finding the Fourth Proportional to 296.30, 408.86 and 165.30

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Solution

The fourth proportional to 296.30, 408.86 and 165.30 is: 228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.30 : 408.86 = 165.30 : x
  2. Step 2: Convert to fraction form
    296.30/408.86 = 165.30/x
  3. Step 3: Cross multiply
    296.30x = 408.86 × 165.30
  4. Step 4: Simplify right side
    296.30x = 67,583.73
  5. Step 5: Solve for x
    x = 67,583.73/296.30
  6. Step 6: Final answer
    x = 228.10

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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.