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Finding the Fourth Proportional to 806.16, 1,208.70 and 250.68

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Solution

The fourth proportional to 806.16, 1,208.70 and 250.68 is: 375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.16 : 1,208.70 = 250.68 : x
  2. Step 2: Convert to fraction form
    806.16/1,208.70 = 250.68/x
  3. Step 3: Cross multiply
    806.16x = 1,208.70 × 250.68
  4. Step 4: Simplify right side
    806.16x = 302,996.92
  5. Step 5: Solve for x
    x = 302,996.92/806.16
  6. Step 6: Final answer
    x = 375.85

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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.