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Finding the Fourth Proportional to 224.15, 309.47 and 161.88

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Solution

The fourth proportional to 224.15, 309.47 and 161.88 is: 223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.15 : 309.47 = 161.88 : x
  2. Step 2: Convert to fraction form
    224.15/309.47 = 161.88/x
  3. Step 3: Cross multiply
    224.15x = 309.47 × 161.88
  4. Step 4: Simplify right side
    224.15x = 50,096.19
  5. Step 5: Solve for x
    x = 50,096.19/224.15
  6. Step 6: Final answer
    x = 223.50

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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.