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Finding the Fourth Proportional to 224.24, 334.50 and 190.22

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Solution

The fourth proportional to 224.24, 334.50 and 190.22 is: 283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.24 : 334.50 = 190.22 : x
  2. Step 2: Convert to fraction form
    224.24/334.50 = 190.22/x
  3. Step 3: Cross multiply
    224.24x = 334.50 × 190.22
  4. Step 4: Simplify right side
    224.24x = 63,628.59
  5. Step 5: Solve for x
    x = 63,628.59/224.24
  6. Step 6: Final answer
    x = 283.75

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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.