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Finding the Fourth Proportional to 344.79, 516.44 and 188.12

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Solution

The fourth proportional to 344.79, 516.44 and 188.12 is: 281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.79 : 516.44 = 188.12 : x
  2. Step 2: Convert to fraction form
    344.79/516.44 = 188.12/x
  3. Step 3: Cross multiply
    344.79x = 516.44 × 188.12
  4. Step 4: Simplify right side
    344.79x = 97,152.69
  5. Step 5: Solve for x
    x = 97,152.69/344.79
  6. Step 6: Final answer
    x = 281.77

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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.