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Finding the Fourth Proportional to 296.42, 408.96 and 180.02

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Solution

The fourth proportional to 296.42, 408.96 and 180.02 is: 248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.42 : 408.96 = 180.02 : x
  2. Step 2: Convert to fraction form
    296.42/408.96 = 180.02/x
  3. Step 3: Cross multiply
    296.42x = 408.96 × 180.02
  4. Step 4: Simplify right side
    296.42x = 73,620.98
  5. Step 5: Solve for x
    x = 73,620.98/296.42
  6. Step 6: Final answer
    x = 248.37

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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.