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Finding the Fourth Proportional to 234.02, 323.00 and 135.83

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Solution

The fourth proportional to 234.02, 323.00 and 135.83 is: 187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 323.00 = 135.83 : x
  2. Step 2: Convert to fraction form
    234.02/323.00 = 135.83/x
  3. Step 3: Cross multiply
    234.02x = 323.00 × 135.83
  4. Step 4: Simplify right side
    234.02x = 43,870.80
  5. Step 5: Solve for x
    x = 43,870.80/234.02
  6. Step 6: Final answer
    x = 187.47

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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.