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Finding the Fourth Proportional to 296.07, 408.56 and 171.73

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Solution

The fourth proportional to 296.07, 408.56 and 171.73 is: 236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.07 : 408.56 = 171.73 : x
  2. Step 2: Convert to fraction form
    296.07/408.56 = 171.73/x
  3. Step 3: Cross multiply
    296.07x = 408.56 × 171.73
  4. Step 4: Simplify right side
    296.07x = 70,162.01
  5. Step 5: Solve for x
    x = 70,162.01/296.07
  6. Step 6: Final answer
    x = 236.98

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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.