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Finding the Fourth Proportional to 296.26, 409.26 and 241.18

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Solution

The fourth proportional to 296.26, 409.26 and 241.18 is: 333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.26 : 409.26 = 241.18 : x
  2. Step 2: Convert to fraction form
    296.26/409.26 = 241.18/x
  3. Step 3: Cross multiply
    296.26x = 409.26 × 241.18
  4. Step 4: Simplify right side
    296.26x = 98,705.33
  5. Step 5: Solve for x
    x = 98,705.33/296.26
  6. Step 6: Final answer
    x = 333.17

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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.