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Finding the Fourth Proportional to 296.22, 408.75 and 178.20

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Solution

The fourth proportional to 296.22, 408.75 and 178.20 is: 245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.22 : 408.75 = 178.20 : x
  2. Step 2: Convert to fraction form
    296.22/408.75 = 178.20/x
  3. Step 3: Cross multiply
    296.22x = 408.75 × 178.20
  4. Step 4: Simplify right side
    296.22x = 72,839.25
  5. Step 5: Solve for x
    x = 72,839.25/296.22
  6. Step 6: Final answer
    x = 245.90

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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.