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Finding the Fourth Proportional to 234.50, 322.94 and 223.56

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Solution

The fourth proportional to 234.50, 322.94 and 223.56 is: 307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.50 : 322.94 = 223.56 : x
  2. Step 2: Convert to fraction form
    234.50/322.94 = 223.56/x
  3. Step 3: Cross multiply
    234.50x = 322.94 × 223.56
  4. Step 4: Simplify right side
    234.50x = 72,195.77
  5. Step 5: Solve for x
    x = 72,195.77/234.50
  6. Step 6: Final answer
    x = 307.88

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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.