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Finding the Fourth Proportional to 223.15, 308.07 and 199.75

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Solution

The fourth proportional to 223.15, 308.07 and 199.75 is: 275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.15 : 308.07 = 199.75 : x
  2. Step 2: Convert to fraction form
    223.15/308.07 = 199.75/x
  3. Step 3: Cross multiply
    223.15x = 308.07 × 199.75
  4. Step 4: Simplify right side
    223.15x = 61,536.98
  5. Step 5: Solve for x
    x = 61,536.98/223.15
  6. Step 6: Final answer
    x = 275.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.