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Finding the Fourth Proportional to 296.23, 408.76 and 178.21

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Solution

The fourth proportional to 296.23, 408.76 and 178.21 is: 245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.23 : 408.76 = 178.21 : x
  2. Step 2: Convert to fraction form
    296.23/408.76 = 178.21/x
  3. Step 3: Cross multiply
    296.23x = 408.76 × 178.21
  4. Step 4: Simplify right side
    296.23x = 72,845.12
  5. Step 5: Solve for x
    x = 72,845.12/296.23
  6. Step 6: Final answer
    x = 245.91

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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.