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Finding the Fourth Proportional to 234.07, 323.09 and 146.74

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Solution

The fourth proportional to 234.07, 323.09 and 146.74 is: 202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.07 : 323.09 = 146.74 : x
  2. Step 2: Convert to fraction form
    234.07/323.09 = 146.74/x
  3. Step 3: Cross multiply
    234.07x = 323.09 × 146.74
  4. Step 4: Simplify right side
    234.07x = 47,409.49
  5. Step 5: Solve for x
    x = 47,409.49/234.07
  6. Step 6: Final answer
    x = 202.54

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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.