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Finding the Fourth Proportional to 234.63, 351.17 and 172.90

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Solution

The fourth proportional to 234.63, 351.17 and 172.90 is: 258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.63 : 351.17 = 172.90 : x
  2. Step 2: Convert to fraction form
    234.63/351.17 = 172.90/x
  3. Step 3: Cross multiply
    234.63x = 351.17 × 172.90
  4. Step 4: Simplify right side
    234.63x = 60,718.49
  5. Step 5: Solve for x
    x = 60,718.49/234.63
  6. Step 6: Final answer
    x = 258.79

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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.