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Finding the Fourth Proportional to 296.30, 408.86 and 178.25

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Solution

The fourth proportional to 296.30, 408.86 and 178.25 is: 245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.30 : 408.86 = 178.25 : x
  2. Step 2: Convert to fraction form
    296.30/408.86 = 178.25/x
  3. Step 3: Cross multiply
    296.30x = 408.86 × 178.25
  4. Step 4: Simplify right side
    296.30x = 72,879.30
  5. Step 5: Solve for x
    x = 72,879.30/296.30
  6. Step 6: Final answer
    x = 245.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.