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Finding the Fourth Proportional to 234.10, 323.05 and 135.84

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Solution

The fourth proportional to 234.10, 323.05 and 135.84 is: 187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.10 : 323.05 = 135.84 : x
  2. Step 2: Convert to fraction form
    234.10/323.05 = 135.84/x
  3. Step 3: Cross multiply
    234.10x = 323.05 × 135.84
  4. Step 4: Simplify right side
    234.10x = 43,883.11
  5. Step 5: Solve for x
    x = 43,883.11/234.10
  6. Step 6: Final answer
    x = 187.45

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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.