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Finding the Fourth Proportional to 224.04, 308.84 and 161.76

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Solution

The fourth proportional to 224.04, 308.84 and 161.76 is: 222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.04 : 308.84 = 161.76 : x
  2. Step 2: Convert to fraction form
    224.04/308.84 = 161.76/x
  3. Step 3: Cross multiply
    224.04x = 308.84 × 161.76
  4. Step 4: Simplify right side
    224.04x = 49,957.96
  5. Step 5: Solve for x
    x = 49,957.96/224.04
  6. Step 6: Final answer
    x = 222.99

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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.