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Finding the Fourth Proportional to 323.32, 484.66 and 140.56

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Solution

The fourth proportional to 323.32, 484.66 and 140.56 is: 210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.32 : 484.66 = 140.56 : x
  2. Step 2: Convert to fraction form
    323.32/484.66 = 140.56/x
  3. Step 3: Cross multiply
    323.32x = 484.66 × 140.56
  4. Step 4: Simplify right side
    323.32x = 68,123.81
  5. Step 5: Solve for x
    x = 68,123.81/323.32
  6. Step 6: Final answer
    x = 210.70

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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.