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Finding the Fourth Proportional to 234.74, 324.04 and 147.46

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Solution

The fourth proportional to 234.74, 324.04 and 147.46 is: 203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.74 : 324.04 = 147.46 : x
  2. Step 2: Convert to fraction form
    234.74/324.04 = 147.46/x
  3. Step 3: Cross multiply
    234.74x = 324.04 × 147.46
  4. Step 4: Simplify right side
    234.74x = 47,782.94
  5. Step 5: Solve for x
    x = 47,782.94/234.74
  6. Step 6: Final answer
    x = 203.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.