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Finding the Fourth Proportional to 223.38, 309.69 and 211.08

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Solution

The fourth proportional to 223.38, 309.69 and 211.08 is: 292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.38 : 309.69 = 211.08 : x
  2. Step 2: Convert to fraction form
    223.38/309.69 = 211.08/x
  3. Step 3: Cross multiply
    223.38x = 309.69 × 211.08
  4. Step 4: Simplify right side
    223.38x = 65,369.37
  5. Step 5: Solve for x
    x = 65,369.37/223.38
  6. Step 6: Final answer
    x = 292.64

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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.