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Finding the Fourth Proportional to 209.37, 313.44 and 200.46

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Solution

The fourth proportional to 209.37, 313.44 and 200.46 is: 300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.37 : 313.44 = 200.46 : x
  2. Step 2: Convert to fraction form
    209.37/313.44 = 200.46/x
  3. Step 3: Cross multiply
    209.37x = 313.44 × 200.46
  4. Step 4: Simplify right side
    209.37x = 62,832.18
  5. Step 5: Solve for x
    x = 62,832.18/209.37
  6. Step 6: Final answer
    x = 300.10

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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.