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Finding the Fourth Proportional to 224.37, 336.56 and 121.50

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Solution

The fourth proportional to 224.37, 336.56 and 121.50 is: 182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.37 : 336.56 = 121.50 : x
  2. Step 2: Convert to fraction form
    224.37/336.56 = 121.50/x
  3. Step 3: Cross multiply
    224.37x = 336.56 × 121.50
  4. Step 4: Simplify right side
    224.37x = 40,891.43
  5. Step 5: Solve for x
    x = 40,891.43/224.37
  6. Step 6: Final answer
    x = 182.25

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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.