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Finding the Fourth Proportional to 234.42, 323.53 and 130.94

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Solution

The fourth proportional to 234.42, 323.53 and 130.94 is: 180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.42 : 323.53 = 130.94 : x
  2. Step 2: Convert to fraction form
    234.42/323.53 = 130.94/x
  3. Step 3: Cross multiply
    234.42x = 323.53 × 130.94
  4. Step 4: Simplify right side
    234.42x = 42,363.02
  5. Step 5: Solve for x
    x = 42,363.02/234.42
  6. Step 6: Final answer
    x = 180.71

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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.