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Finding the Fourth Proportional to 227.68, 314.24 and 165.60

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Solution

The fourth proportional to 227.68, 314.24 and 165.60 is: 228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 314.24 = 165.60 : x
  2. Step 2: Convert to fraction form
    227.68/314.24 = 165.60/x
  3. Step 3: Cross multiply
    227.68x = 314.24 × 165.60
  4. Step 4: Simplify right side
    227.68x = 52,038.14
  5. Step 5: Solve for x
    x = 52,038.14/227.68
  6. Step 6: Final answer
    x = 228.56

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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.