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Finding the Fourth Proportional to 234.47, 351.79 and 106.13

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Solution

The fourth proportional to 234.47, 351.79 and 106.13 is: 159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.47 : 351.79 = 106.13 : x
  2. Step 2: Convert to fraction form
    234.47/351.79 = 106.13/x
  3. Step 3: Cross multiply
    234.47x = 351.79 × 106.13
  4. Step 4: Simplify right side
    234.47x = 37,335.47
  5. Step 5: Solve for x
    x = 37,335.47/234.47
  6. Step 6: Final answer
    x = 159.23

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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.