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Finding the Fourth Proportional to 224.56, 337.38 and 208.36

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Solution

The fourth proportional to 224.56, 337.38 and 208.36 is: 313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.56 : 337.38 = 208.36 : x
  2. Step 2: Convert to fraction form
    224.56/337.38 = 208.36/x
  3. Step 3: Cross multiply
    224.56x = 337.38 × 208.36
  4. Step 4: Simplify right side
    224.56x = 70,296.50
  5. Step 5: Solve for x
    x = 70,296.50/224.56
  6. Step 6: Final answer
    x = 313.04

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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.