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Finding the Fourth Proportional to 224.32, 336.36 and 137.68

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Solution

The fourth proportional to 224.32, 336.36 and 137.68 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.32 : 336.36 = 137.68 : x
  2. Step 2: Convert to fraction form
    224.32/336.36 = 137.68/x
  3. Step 3: Cross multiply
    224.32x = 336.36 × 137.68
  4. Step 4: Simplify right side
    224.32x = 46,310.04
  5. Step 5: Solve for x
    x = 46,310.04/224.32
  6. Step 6: Final answer
    x = 206.45

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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.