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Finding the Fourth Proportional to 223.95, 309.05 and 140.97

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Solution

The fourth proportional to 223.95, 309.05 and 140.97 is: 194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.95 : 309.05 = 140.97 : x
  2. Step 2: Convert to fraction form
    223.95/309.05 = 140.97/x
  3. Step 3: Cross multiply
    223.95x = 309.05 × 140.97
  4. Step 4: Simplify right side
    223.95x = 43,564.53
  5. Step 5: Solve for x
    x = 43,564.53/223.95
  6. Step 6: Final answer
    x = 194.53

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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.