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Finding the Fourth Proportional to 343.08, 513.99 and 160.14

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Solution

The fourth proportional to 343.08, 513.99 and 160.14 is: 239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.08 : 513.99 = 160.14 : x
  2. Step 2: Convert to fraction form
    343.08/513.99 = 160.14/x
  3. Step 3: Cross multiply
    343.08x = 513.99 × 160.14
  4. Step 4: Simplify right side
    343.08x = 82,310.36
  5. Step 5: Solve for x
    x = 82,310.36/343.08
  6. Step 6: Final answer
    x = 239.92

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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.