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Finding the Fourth Proportional to 323.70, 485.55 and 202.20

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Solution

The fourth proportional to 323.70, 485.55 and 202.20 is: 303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.70 : 485.55 = 202.20 : x
  2. Step 2: Convert to fraction form
    323.70/485.55 = 202.20/x
  3. Step 3: Cross multiply
    323.70x = 485.55 × 202.20
  4. Step 4: Simplify right side
    323.70x = 98,178.21
  5. Step 5: Solve for x
    x = 98,178.21/323.70
  6. Step 6: Final answer
    x = 303.30

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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.