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Finding the Fourth Proportional to 224.68, 335.38 and 210.44

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Solution

The fourth proportional to 224.68, 335.38 and 210.44 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.68 : 335.38 = 210.44 : x
  2. Step 2: Convert to fraction form
    224.68/335.38 = 210.44/x
  3. Step 3: Cross multiply
    224.68x = 335.38 × 210.44
  4. Step 4: Simplify right side
    224.68x = 70,577.37
  5. Step 5: Solve for x
    x = 70,577.37/224.68
  6. Step 6: Final answer
    x = 314.12

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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.