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Finding the Fourth Proportional to 227.51, 342.78 and 205.86

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Solution

The fourth proportional to 227.51, 342.78 and 205.86 is: 310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.51 : 342.78 = 205.86 : x
  2. Step 2: Convert to fraction form
    227.51/342.78 = 205.86/x
  3. Step 3: Cross multiply
    227.51x = 342.78 × 205.86
  4. Step 4: Simplify right side
    227.51x = 70,565.55
  5. Step 5: Solve for x
    x = 70,565.55/227.51
  6. Step 6: Final answer
    x = 310.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.