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Finding the Fourth Proportional to 227.52, 314.10 and 165.54

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Solution

The fourth proportional to 227.52, 314.10 and 165.54 is: 228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.52 : 314.10 = 165.54 : x
  2. Step 2: Convert to fraction form
    227.52/314.10 = 165.54/x
  3. Step 3: Cross multiply
    227.52x = 314.10 × 165.54
  4. Step 4: Simplify right side
    227.52x = 51,996.11
  5. Step 5: Solve for x
    x = 51,996.11/227.52
  6. Step 6: Final answer
    x = 228.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.