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Finding the Fourth Proportional to 234.06, 323.10 and 145.56

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Solution

The fourth proportional to 234.06, 323.10 and 145.56 is: 200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.06 : 323.10 = 145.56 : x
  2. Step 2: Convert to fraction form
    234.06/323.10 = 145.56/x
  3. Step 3: Cross multiply
    234.06x = 323.10 × 145.56
  4. Step 4: Simplify right side
    234.06x = 47,030.44
  5. Step 5: Solve for x
    x = 47,030.44/234.06
  6. Step 6: Final answer
    x = 200.93

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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.