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Finding the Fourth Proportional to 296.14, 408.71 and 165.16

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Solution

The fourth proportional to 296.14, 408.71 and 165.16 is: 227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.14 : 408.71 = 165.16 : x
  2. Step 2: Convert to fraction form
    296.14/408.71 = 165.16/x
  3. Step 3: Cross multiply
    296.14x = 408.71 × 165.16
  4. Step 4: Simplify right side
    296.14x = 67,502.54
  5. Step 5: Solve for x
    x = 67,502.54/296.14
  6. Step 6: Final answer
    x = 227.94

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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.