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Finding the Fourth Proportional to 272.40, 406.50 and 224.40

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Solution

The fourth proportional to 272.40, 406.50 and 224.40 is: 334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.40 : 406.50 = 224.40 : x
  2. Step 2: Convert to fraction form
    272.40/406.50 = 224.40/x
  3. Step 3: Cross multiply
    272.40x = 406.50 × 224.40
  4. Step 4: Simplify right side
    272.40x = 91,218.60
  5. Step 5: Solve for x
    x = 91,218.60/272.40
  6. Step 6: Final answer
    x = 334.87

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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.