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Finding the Fourth Proportional to 227.49, 314.06 and 165.25

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Solution

The fourth proportional to 227.49, 314.06 and 165.25 is: 228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.49 : 314.06 = 165.25 : x
  2. Step 2: Convert to fraction form
    227.49/314.06 = 165.25/x
  3. Step 3: Cross multiply
    227.49x = 314.06 × 165.25
  4. Step 4: Simplify right side
    227.49x = 51,898.42
  5. Step 5: Solve for x
    x = 51,898.42/227.49
  6. Step 6: Final answer
    x = 228.13

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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.