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Finding the Fourth Proportional to 296.46, 409.14 and 180.09

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Solution

The fourth proportional to 296.46, 409.14 and 180.09 is: 248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.46 : 409.14 = 180.09 : x
  2. Step 2: Convert to fraction form
    296.46/409.14 = 180.09/x
  3. Step 3: Cross multiply
    296.46x = 409.14 × 180.09
  4. Step 4: Simplify right side
    296.46x = 73,682.02
  5. Step 5: Solve for x
    x = 73,682.02/296.46
  6. Step 6: Final answer
    x = 248.54

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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.