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Finding the Fourth Proportional to 296.44, 409.14 and 180.07

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Solution

The fourth proportional to 296.44, 409.14 and 180.07 is: 248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.44 : 409.14 = 180.07 : x
  2. Step 2: Convert to fraction form
    296.44/409.14 = 180.07/x
  3. Step 3: Cross multiply
    296.44x = 409.14 × 180.07
  4. Step 4: Simplify right side
    296.44x = 73,672.94
  5. Step 5: Solve for x
    x = 73,672.94/296.44
  6. Step 6: Final answer
    x = 248.53

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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.