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Finding the Fourth Proportional to 224.56, 309.84 and 172.96

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Solution

The fourth proportional to 224.56, 309.84 and 172.96 is: 238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.56 : 309.84 = 172.96 : x
  2. Step 2: Convert to fraction form
    224.56/309.84 = 172.96/x
  3. Step 3: Cross multiply
    224.56x = 309.84 × 172.96
  4. Step 4: Simplify right side
    224.56x = 53,589.93
  5. Step 5: Solve for x
    x = 53,589.93/224.56
  6. Step 6: Final answer
    x = 238.64

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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.