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Finding the Fourth Proportional to 199.94, 298.50 and 171.06

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Solution

The fourth proportional to 199.94, 298.50 and 171.06 is: 255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.94 : 298.50 = 171.06 : x
  2. Step 2: Convert to fraction form
    199.94/298.50 = 171.06/x
  3. Step 3: Cross multiply
    199.94x = 298.50 × 171.06
  4. Step 4: Simplify right side
    199.94x = 51,061.41
  5. Step 5: Solve for x
    x = 51,061.41/199.94
  6. Step 6: Final answer
    x = 255.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.