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Finding the Fourth Proportional to 227.66, 313.85 and 186.14

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Solution

The fourth proportional to 227.66, 313.85 and 186.14 is: 256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.66 : 313.85 = 186.14 : x
  2. Step 2: Convert to fraction form
    227.66/313.85 = 186.14/x
  3. Step 3: Cross multiply
    227.66x = 313.85 × 186.14
  4. Step 4: Simplify right side
    227.66x = 58,417.54
  5. Step 5: Solve for x
    x = 58,417.54/227.66
  6. Step 6: Final answer
    x = 256.61

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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.