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Finding the Fourth Proportional to 224.40, 310.94 and 221.76

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Solution

The fourth proportional to 224.40, 310.94 and 221.76 is: 307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.40 : 310.94 = 221.76 : x
  2. Step 2: Convert to fraction form
    224.40/310.94 = 221.76/x
  3. Step 3: Cross multiply
    224.40x = 310.94 × 221.76
  4. Step 4: Simplify right side
    224.40x = 68,954.05
  5. Step 5: Solve for x
    x = 68,954.05/224.40
  6. Step 6: Final answer
    x = 307.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.