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Finding the Fourth Proportional to 224.93, 337.31 and 70.83

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Solution

The fourth proportional to 224.93, 337.31 and 70.83 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.93 : 337.31 = 70.83 : x
  2. Step 2: Convert to fraction form
    224.93/337.31 = 70.83/x
  3. Step 3: Cross multiply
    224.93x = 337.31 × 70.83
  4. Step 4: Simplify right side
    224.93x = 23,891.67
  5. Step 5: Solve for x
    x = 23,891.67/224.93
  6. Step 6: Final answer
    x = 106.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.