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Finding the Fourth Proportional to 323.35, 484.57 and 130.75

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Solution

The fourth proportional to 323.35, 484.57 and 130.75 is: 195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.35 : 484.57 = 130.75 : x
  2. Step 2: Convert to fraction form
    323.35/484.57 = 130.75/x
  3. Step 3: Cross multiply
    323.35x = 484.57 × 130.75
  4. Step 4: Simplify right side
    323.35x = 63,357.53
  5. Step 5: Solve for x
    x = 63,357.53/323.35
  6. Step 6: Final answer
    x = 195.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.