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Finding the Fourth Proportional to 224.69, 309.77 and 158.21

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Solution

The fourth proportional to 224.69, 309.77 and 158.21 is: 218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.69 : 309.77 = 158.21 : x
  2. Step 2: Convert to fraction form
    224.69/309.77 = 158.21/x
  3. Step 3: Cross multiply
    224.69x = 309.77 × 158.21
  4. Step 4: Simplify right side
    224.69x = 49,006.37
  5. Step 5: Solve for x
    x = 49,006.37/224.69
  6. Step 6: Final answer
    x = 218.11

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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.