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Finding the Fourth Proportional to 296.92, 409.74 and 164.14

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Solution

The fourth proportional to 296.92, 409.74 and 164.14 is: 226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.92 : 409.74 = 164.14 : x
  2. Step 2: Convert to fraction form
    296.92/409.74 = 164.14/x
  3. Step 3: Cross multiply
    296.92x = 409.74 × 164.14
  4. Step 4: Simplify right side
    296.92x = 67,253.70
  5. Step 5: Solve for x
    x = 67,253.70/296.92
  6. Step 6: Final answer
    x = 226.51

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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.