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Finding the Fourth Proportional to 516.90, 775.26 and 192.27

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Solution

The fourth proportional to 516.90, 775.26 and 192.27 is: 288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.90 : 775.26 = 192.27 : x
  2. Step 2: Convert to fraction form
    516.90/775.26 = 192.27/x
  3. Step 3: Cross multiply
    516.90x = 775.26 × 192.27
  4. Step 4: Simplify right side
    516.90x = 149,059.24
  5. Step 5: Solve for x
    x = 149,059.24/516.90
  6. Step 6: Final answer
    x = 288.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.