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Finding the Fourth Proportional to 224.84, 309.96 and 159.32

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Solution

The fourth proportional to 224.84, 309.96 and 159.32 is: 219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.84 : 309.96 = 159.32 : x
  2. Step 2: Convert to fraction form
    224.84/309.96 = 159.32/x
  3. Step 3: Cross multiply
    224.84x = 309.96 × 159.32
  4. Step 4: Simplify right side
    224.84x = 49,382.83
  5. Step 5: Solve for x
    x = 49,382.83/224.84
  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.