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Finding the Fourth Proportional to 200.67, 276.77 and 151.67

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Solution

The fourth proportional to 200.67, 276.77 and 151.67 is: 209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.67 : 276.77 = 151.67 : x
  2. Step 2: Convert to fraction form
    200.67/276.77 = 151.67/x
  3. Step 3: Cross multiply
    200.67x = 276.77 × 151.67
  4. Step 4: Simplify right side
    200.67x = 41,975.56
  5. Step 5: Solve for x
    x = 41,975.56/200.67
  6. Step 6: Final answer
    x = 209.18

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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.