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Finding the Fourth Proportional to 418.45, 626.97 and 186.99

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Solution

The fourth proportional to 418.45, 626.97 and 186.99 is: 280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.45 : 626.97 = 186.99 : x
  2. Step 2: Convert to fraction form
    418.45/626.97 = 186.99/x
  3. Step 3: Cross multiply
    418.45x = 626.97 × 186.99
  4. Step 4: Simplify right side
    418.45x = 117,237.12
  5. Step 5: Solve for x
    x = 117,237.12/418.45
  6. Step 6: Final answer
    x = 280.17

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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.