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Finding the Fourth Proportional to 227.86, 314.46 and 134.62

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Solution

The fourth proportional to 227.86, 314.46 and 134.62 is: 185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.86 : 314.46 = 134.62 : x
  2. Step 2: Convert to fraction form
    227.86/314.46 = 134.62/x
  3. Step 3: Cross multiply
    227.86x = 314.46 × 134.62
  4. Step 4: Simplify right side
    227.86x = 42,332.61
  5. Step 5: Solve for x
    x = 42,332.61/227.86
  6. Step 6: Final answer
    x = 185.78

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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.