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Finding the Fourth Proportional to 224.17, 336.25 and 161.52

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Solution

The fourth proportional to 224.17, 336.25 and 161.52 is: 242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.17 : 336.25 = 161.52 : x
  2. Step 2: Convert to fraction form
    224.17/336.25 = 161.52/x
  3. Step 3: Cross multiply
    224.17x = 336.25 × 161.52
  4. Step 4: Simplify right side
    224.17x = 54,310.99
  5. Step 5: Solve for x
    x = 54,310.99/224.17
  6. Step 6: Final answer
    x = 242.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.