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Finding the Fourth Proportional to 199.76, 275.54 and 149.94

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Solution

The fourth proportional to 199.76, 275.54 and 149.94 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.76 : 275.54 = 149.94 : x
  2. Step 2: Convert to fraction form
    199.76/275.54 = 149.94/x
  3. Step 3: Cross multiply
    199.76x = 275.54 × 149.94
  4. Step 4: Simplify right side
    199.76x = 41,313.72
  5. Step 5: Solve for x
    x = 41,313.72/199.76
  6. Step 6: Final answer
    x = 206.82

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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.