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Finding the Fourth Proportional to 223.25, 308.28 and 140.50

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Solution

The fourth proportional to 223.25, 308.28 and 140.50 is: 194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.25 : 308.28 = 140.50 : x
  2. Step 2: Convert to fraction form
    223.25/308.28 = 140.50/x
  3. Step 3: Cross multiply
    223.25x = 308.28 × 140.50
  4. Step 4: Simplify right side
    223.25x = 43,311.10
  5. Step 5: Solve for x
    x = 43,311.10/223.25
  6. Step 6: Final answer
    x = 194.00

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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.