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Finding the Fourth Proportional to 227.82, 314.46 and 178.58

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Solution

The fourth proportional to 227.82, 314.46 and 178.58 is: 246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.82 : 314.46 = 178.58 : x
  2. Step 2: Convert to fraction form
    227.82/314.46 = 178.58/x
  3. Step 3: Cross multiply
    227.82x = 314.46 × 178.58
  4. Step 4: Simplify right side
    227.82x = 56,156.27
  5. Step 5: Solve for x
    x = 56,156.27/227.82
  6. Step 6: Final answer
    x = 246.49

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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.