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Finding the Fourth Proportional to 296.25, 409.36 and 213.22

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Solution

The fourth proportional to 296.25, 409.36 and 213.22 is: 294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.25 : 409.36 = 213.22 : x
  2. Step 2: Convert to fraction form
    296.25/409.36 = 213.22/x
  3. Step 3: Cross multiply
    296.25x = 409.36 × 213.22
  4. Step 4: Simplify right side
    296.25x = 87,283.74
  5. Step 5: Solve for x
    x = 87,283.74/296.25
  6. Step 6: Final answer
    x = 294.63

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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.