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Finding the Fourth Proportional to 296.44, 409.13 and 179.94

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Solution

The fourth proportional to 296.44, 409.13 and 179.94 is: 248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.44 : 409.13 = 179.94 : x
  2. Step 2: Convert to fraction form
    296.44/409.13 = 179.94/x
  3. Step 3: Cross multiply
    296.44x = 409.13 × 179.94
  4. Step 4: Simplify right side
    296.44x = 73,615.91
  5. Step 5: Solve for x
    x = 73,615.91/296.44
  6. Step 6: Final answer
    x = 248.33

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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.