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Finding the Fourth Proportional to 223.62, 310.02 and 211.33

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Solution

The fourth proportional to 223.62, 310.02 and 211.33 is: 292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.62 : 310.02 = 211.33 : x
  2. Step 2: Convert to fraction form
    223.62/310.02 = 211.33/x
  3. Step 3: Cross multiply
    223.62x = 310.02 × 211.33
  4. Step 4: Simplify right side
    223.62x = 65,516.53
  5. Step 5: Solve for x
    x = 65,516.53/223.62
  6. Step 6: Final answer
    x = 292.98

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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.