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Finding the Fourth Proportional to 373.98, 516.10 and 234.12

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Solution

The fourth proportional to 373.98, 516.10 and 234.12 is: 323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.98 : 516.10 = 234.12 : x
  2. Step 2: Convert to fraction form
    373.98/516.10 = 234.12/x
  3. Step 3: Cross multiply
    373.98x = 516.10 × 234.12
  4. Step 4: Simplify right side
    373.98x = 120,829.33
  5. Step 5: Solve for x
    x = 120,829.33/373.98
  6. Step 6: Final answer
    x = 323.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.