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Finding the Fourth Proportional to 234.36, 351.41 and 147.56

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Solution

The fourth proportional to 234.36, 351.41 and 147.56 is: 221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.36 : 351.41 = 147.56 : x
  2. Step 2: Convert to fraction form
    234.36/351.41 = 147.56/x
  3. Step 3: Cross multiply
    234.36x = 351.41 × 147.56
  4. Step 4: Simplify right side
    234.36x = 51,851.56
  5. Step 5: Solve for x
    x = 51,851.56/234.36
  6. Step 6: Final answer
    x = 221.25

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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.