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Finding the Fourth Proportional to 199.86, 299.58 and 159.36

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Solution

The fourth proportional to 199.86, 299.58 and 159.36 is: 238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.86 : 299.58 = 159.36 : x
  2. Step 2: Convert to fraction form
    199.86/299.58 = 159.36/x
  3. Step 3: Cross multiply
    199.86x = 299.58 × 159.36
  4. Step 4: Simplify right side
    199.86x = 47,741.07
  5. Step 5: Solve for x
    x = 47,741.07/199.86
  6. Step 6: Final answer
    x = 238.87

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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.