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Finding the Fourth Proportional to 224.37, 333.99 and 213.98

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Solution

The fourth proportional to 224.37, 333.99 and 213.98 is: 318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.37 : 333.99 = 213.98 : x
  2. Step 2: Convert to fraction form
    224.37/333.99 = 213.98/x
  3. Step 3: Cross multiply
    224.37x = 333.99 × 213.98
  4. Step 4: Simplify right side
    224.37x = 71,465.51
  5. Step 5: Solve for x
    x = 71,465.51/224.37
  6. Step 6: Final answer
    x = 318.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.