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Finding the Fourth Proportional to 234.15, 351.22 and 97.05

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Solution

The fourth proportional to 234.15, 351.22 and 97.05 is: 145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.15 : 351.22 = 97.05 : x
  2. Step 2: Convert to fraction form
    234.15/351.22 = 97.05/x
  3. Step 3: Cross multiply
    234.15x = 351.22 × 97.05
  4. Step 4: Simplify right side
    234.15x = 34,084.14
  5. Step 5: Solve for x
    x = 34,084.14/234.15
  6. Step 6: Final answer
    x = 145.57

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Why These Related Problems?

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