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Finding the Fourth Proportional to 224.93, 310.09 and 159.32

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Solution

The fourth proportional to 224.93, 310.09 and 159.32 is: 219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.93 : 310.09 = 159.32 : x
  2. Step 2: Convert to fraction form
    224.93/310.09 = 159.32/x
  3. Step 3: Cross multiply
    224.93x = 310.09 × 159.32
  4. Step 4: Simplify right side
    224.93x = 49,403.54
  5. Step 5: Solve for x
    x = 49,403.54/224.93
  6. Step 6: Final answer
    x = 219.64

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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.