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Finding the Fourth Proportional to 224.27, 309.58 and 165.33

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Solution

The fourth proportional to 224.27, 309.58 and 165.33 is: 228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.27 : 309.58 = 165.33 : x
  2. Step 2: Convert to fraction form
    224.27/309.58 = 165.33/x
  3. Step 3: Cross multiply
    224.27x = 309.58 × 165.33
  4. Step 4: Simplify right side
    224.27x = 51,182.45
  5. Step 5: Solve for x
    x = 51,182.45/224.27
  6. Step 6: Final answer
    x = 228.21

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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.