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Finding the Fourth Proportional to 296.78, 409.61 and 218.21

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Solution

The fourth proportional to 296.78, 409.61 and 218.21 is: 301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.78 : 409.61 = 218.21 : x
  2. Step 2: Convert to fraction form
    296.78/409.61 = 218.21/x
  3. Step 3: Cross multiply
    296.78x = 409.61 × 218.21
  4. Step 4: Simplify right side
    296.78x = 89,382.57
  5. Step 5: Solve for x
    x = 89,382.57/296.78
  6. Step 6: Final answer
    x = 301.17

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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.