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Finding the Fourth Proportional to 234.61, 323.63 and 136.35

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Solution

The fourth proportional to 234.61, 323.63 and 136.35 is: 188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.61 : 323.63 = 136.35 : x
  2. Step 2: Convert to fraction form
    234.61/323.63 = 136.35/x
  3. Step 3: Cross multiply
    234.61x = 323.63 × 136.35
  4. Step 4: Simplify right side
    234.61x = 44,126.27
  5. Step 5: Solve for x
    x = 44,126.27/234.61
  6. Step 6: Final answer
    x = 188.09

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