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Finding the Fourth Proportional to 227.84, 314.27 and 165.57

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Solution

The fourth proportional to 227.84, 314.27 and 165.57 is: 228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.84 : 314.27 = 165.57 : x
  2. Step 2: Convert to fraction form
    227.84/314.27 = 165.57/x
  3. Step 3: Cross multiply
    227.84x = 314.27 × 165.57
  4. Step 4: Simplify right side
    227.84x = 52,032.86
  5. Step 5: Solve for x
    x = 52,032.86/227.84
  6. Step 6: Final answer
    x = 228.38

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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.