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Finding the Fourth Proportional to 227.66, 314.45 and 165.39

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Solution

The fourth proportional to 227.66, 314.45 and 165.39 is: 228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.66 : 314.45 = 165.39 : x
  2. Step 2: Convert to fraction form
    227.66/314.45 = 165.39/x
  3. Step 3: Cross multiply
    227.66x = 314.45 × 165.39
  4. Step 4: Simplify right side
    227.66x = 52,006.89
  5. Step 5: Solve for x
    x = 52,006.89/227.66
  6. Step 6: Final answer
    x = 228.44

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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.