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Finding the Fourth Proportional to 199.36, 298.59 and 160.74

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Solution

The fourth proportional to 199.36, 298.59 and 160.74 is: 240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.36 : 298.59 = 160.74 : x
  2. Step 2: Convert to fraction form
    199.36/298.59 = 160.74/x
  3. Step 3: Cross multiply
    199.36x = 298.59 × 160.74
  4. Step 4: Simplify right side
    199.36x = 47,995.36
  5. Step 5: Solve for x
    x = 47,995.36/199.36
  6. Step 6: Final answer
    x = 240.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.