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Finding the Fourth Proportional to 296.07, 408.54 and 165.07

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Solution

The fourth proportional to 296.07, 408.54 and 165.07 is: 227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.07 : 408.54 = 165.07 : x
  2. Step 2: Convert to fraction form
    296.07/408.54 = 165.07/x
  3. Step 3: Cross multiply
    296.07x = 408.54 × 165.07
  4. Step 4: Simplify right side
    296.07x = 67,438.83
  5. Step 5: Solve for x
    x = 67,438.83/296.07
  6. Step 6: Final answer
    x = 227.78

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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.