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Finding the Fourth Proportional to 296.13, 408.66 and 165.14

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Solution

The fourth proportional to 296.13, 408.66 and 165.14 is: 227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.13 : 408.66 = 165.14 : x
  2. Step 2: Convert to fraction form
    296.13/408.66 = 165.14/x
  3. Step 3: Cross multiply
    296.13x = 408.66 × 165.14
  4. Step 4: Simplify right side
    296.13x = 67,486.11
  5. Step 5: Solve for x
    x = 67,486.11/296.13
  6. Step 6: Final answer
    x = 227.89

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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.