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Finding the Fourth Proportional to 224.37, 336.06 and 142.81

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Solution

The fourth proportional to 224.37, 336.06 and 142.81 is: 213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.37 : 336.06 = 142.81 : x
  2. Step 2: Convert to fraction form
    224.37/336.06 = 142.81/x
  3. Step 3: Cross multiply
    224.37x = 336.06 × 142.81
  4. Step 4: Simplify right side
    224.37x = 47,991.89
  5. Step 5: Solve for x
    x = 47,991.89/224.37
  6. Step 6: Final answer
    x = 213.90

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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.