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Finding the Fourth Proportional to 200.85, 276.48 and 173.31

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Solution

The fourth proportional to 200.85, 276.48 and 173.31 is: 238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.85 : 276.48 = 173.31 : x
  2. Step 2: Convert to fraction form
    200.85/276.48 = 173.31/x
  3. Step 3: Cross multiply
    200.85x = 276.48 × 173.31
  4. Step 4: Simplify right side
    200.85x = 47,916.75
  5. Step 5: Solve for x
    x = 47,916.75/200.85
  6. Step 6: Final answer
    x = 238.57

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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.