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Finding the Fourth Proportional to 344.08, 516.18 and 149.08

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Solution

The fourth proportional to 344.08, 516.18 and 149.08 is: 223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.08 : 516.18 = 149.08 : x
  2. Step 2: Convert to fraction form
    344.08/516.18 = 149.08/x
  3. Step 3: Cross multiply
    344.08x = 516.18 × 149.08
  4. Step 4: Simplify right side
    344.08x = 76,952.11
  5. Step 5: Solve for x
    x = 76,952.11/344.08
  6. Step 6: Final answer
    x = 223.65

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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.