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Finding the Fourth Proportional to 224.84, 308.27 and 222.08

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Solution

The fourth proportional to 224.84, 308.27 and 222.08 is: 304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.84 : 308.27 = 222.08 : x
  2. Step 2: Convert to fraction form
    224.84/308.27 = 222.08/x
  3. Step 3: Cross multiply
    224.84x = 308.27 × 222.08
  4. Step 4: Simplify right side
    224.84x = 68,459.62
  5. Step 5: Solve for x
    x = 68,459.62/224.84
  6. Step 6: Final answer
    x = 304.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.