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Finding the Fourth Proportional to 296.02, 408.52 and 165.04

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Solution

The fourth proportional to 296.02, 408.52 and 165.04 is: 227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.02 : 408.52 = 165.04 : x
  2. Step 2: Convert to fraction form
    296.02/408.52 = 165.04/x
  3. Step 3: Cross multiply
    296.02x = 408.52 × 165.04
  4. Step 4: Simplify right side
    296.02x = 67,420.40
  5. Step 5: Solve for x
    x = 67,420.40/296.02
  6. Step 6: Final answer
    x = 227.76

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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.