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Finding the Fourth Proportional to 224.68, 309.87 and 145.97

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Solution

The fourth proportional to 224.68, 309.87 and 145.97 is: 201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.68 : 309.87 = 145.97 : x
  2. Step 2: Convert to fraction form
    224.68/309.87 = 145.97/x
  3. Step 3: Cross multiply
    224.68x = 309.87 × 145.97
  4. Step 4: Simplify right side
    224.68x = 45,230.93
  5. Step 5: Solve for x
    x = 45,230.93/224.68
  6. Step 6: Final answer
    x = 201.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.