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Finding the Fourth Proportional to 208.82, 288.68 and 200.23

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Solution

The fourth proportional to 208.82, 288.68 and 200.23 is: 276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.82 : 288.68 = 200.23 : x
  2. Step 2: Convert to fraction form
    208.82/288.68 = 200.23/x
  3. Step 3: Cross multiply
    208.82x = 288.68 × 200.23
  4. Step 4: Simplify right side
    208.82x = 57,802.40
  5. Step 5: Solve for x
    x = 57,802.40/208.82
  6. Step 6: Final answer
    x = 276.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.