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Finding the Fourth Proportional to 224.86, 309.99 and 159.16

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Solution

The fourth proportional to 224.86, 309.99 and 159.16 is: 219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.86 : 309.99 = 159.16 : x
  2. Step 2: Convert to fraction form
    224.86/309.99 = 159.16/x
  3. Step 3: Cross multiply
    224.86x = 309.99 × 159.16
  4. Step 4: Simplify right side
    224.86x = 49,338.01
  5. Step 5: Solve for x
    x = 49,338.01/224.86
  6. Step 6: Final answer
    x = 219.42

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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.