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Finding the Fourth Proportional to 223.43, 308.57 and 192.42

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Solution

The fourth proportional to 223.43, 308.57 and 192.42 is: 265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.43 : 308.57 = 192.42 : x
  2. Step 2: Convert to fraction form
    223.43/308.57 = 192.42/x
  3. Step 3: Cross multiply
    223.43x = 308.57 × 192.42
  4. Step 4: Simplify right side
    223.43x = 59,374.08
  5. Step 5: Solve for x
    x = 59,374.08/223.43
  6. Step 6: Final answer
    x = 265.75

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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.