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Finding the Fourth Proportional to 234.70, 351.54 and 193.66

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Solution

The fourth proportional to 234.70, 351.54 and 193.66 is: 290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.70 : 351.54 = 193.66 : x
  2. Step 2: Convert to fraction form
    234.70/351.54 = 193.66/x
  3. Step 3: Cross multiply
    234.70x = 351.54 × 193.66
  4. Step 4: Simplify right side
    234.70x = 68,079.24
  5. Step 5: Solve for x
    x = 68,079.24/234.70
  6. Step 6: Final answer
    x = 290.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.