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Finding the Fourth Proportional to 296.01, 408.51 and 165.02

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Solution

The fourth proportional to 296.01, 408.51 and 165.02 is: 227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.01 : 408.51 = 165.02 : x
  2. Step 2: Convert to fraction form
    296.01/408.51 = 165.02/x
  3. Step 3: Cross multiply
    296.01x = 408.51 × 165.02
  4. Step 4: Simplify right side
    296.01x = 67,410.28
  5. Step 5: Solve for x
    x = 67,410.28/296.01
  6. Step 6: Final answer
    x = 227.73

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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.