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Finding the Fourth Proportional to 227.94, 342.37 and 176.68

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Solution

The fourth proportional to 227.94, 342.37 and 176.68 is: 265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.94 : 342.37 = 176.68 : x
  2. Step 2: Convert to fraction form
    227.94/342.37 = 176.68/x
  3. Step 3: Cross multiply
    227.94x = 342.37 × 176.68
  4. Step 4: Simplify right side
    227.94x = 60,489.93
  5. Step 5: Solve for x
    x = 60,489.93/227.94
  6. Step 6: Final answer
    x = 265.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.