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Finding the Fourth Proportional to 345.92, 477.22 and 227.74

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Solution

The fourth proportional to 345.92, 477.22 and 227.74 is: 314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.92 : 477.22 = 227.74 : x
  2. Step 2: Convert to fraction form
    345.92/477.22 = 227.74/x
  3. Step 3: Cross multiply
    345.92x = 477.22 × 227.74
  4. Step 4: Simplify right side
    345.92x = 108,682.68
  5. Step 5: Solve for x
    x = 108,682.68/345.92
  6. Step 6: Final answer
    x = 314.18

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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.