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Finding the Fourth Proportional to 323.12, 484.57 and 140.33

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Solution

The fourth proportional to 323.12, 484.57 and 140.33 is: 210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.12 : 484.57 = 140.33 : x
  2. Step 2: Convert to fraction form
    323.12/484.57 = 140.33/x
  3. Step 3: Cross multiply
    323.12x = 484.57 × 140.33
  4. Step 4: Simplify right side
    323.12x = 67,999.71
  5. Step 5: Solve for x
    x = 67,999.71/323.12
  6. Step 6: Final answer
    x = 210.45

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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.