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Finding the Fourth Proportional to 296.09, 408.62 and 178.07

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Solution

The fourth proportional to 296.09, 408.62 and 178.07 is: 245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.09 : 408.62 = 178.07 : x
  2. Step 2: Convert to fraction form
    296.09/408.62 = 178.07/x
  3. Step 3: Cross multiply
    296.09x = 408.62 × 178.07
  4. Step 4: Simplify right side
    296.09x = 72,760.03
  5. Step 5: Solve for x
    x = 72,760.03/296.09
  6. Step 6: Final answer
    x = 245.74

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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.