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Finding the Fourth Proportional to 296.80, 409.66 and 218.24

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Solution

The fourth proportional to 296.80, 409.66 and 218.24 is: 301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.80 : 409.66 = 218.24 : x
  2. Step 2: Convert to fraction form
    296.80/409.66 = 218.24/x
  3. Step 3: Cross multiply
    296.80x = 409.66 × 218.24
  4. Step 4: Simplify right side
    296.80x = 89,404.20
  5. Step 5: Solve for x
    x = 89,404.20/296.80
  6. Step 6: Final answer
    x = 301.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.