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Finding the Fourth Proportional to 296.81, 409.57 and 164.04

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Solution

The fourth proportional to 296.81, 409.57 and 164.04 is: 226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.81 : 409.57 = 164.04 : x
  2. Step 2: Convert to fraction form
    296.81/409.57 = 164.04/x
  3. Step 3: Cross multiply
    296.81x = 409.57 × 164.04
  4. Step 4: Simplify right side
    296.81x = 67,185.86
  5. Step 5: Solve for x
    x = 67,185.86/296.81
  6. Step 6: Final answer
    x = 226.36

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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.