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Finding the Fourth Proportional to 516.94, 775.38 and 192.16

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Solution

The fourth proportional to 516.94, 775.38 and 192.16 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.94 : 775.38 = 192.16 : x
  2. Step 2: Convert to fraction form
    516.94/775.38 = 192.16/x
  3. Step 3: Cross multiply
    516.94x = 775.38 × 192.16
  4. Step 4: Simplify right side
    516.94x = 148,997.02
  5. Step 5: Solve for x
    x = 148,997.02/516.94
  6. Step 6: Final answer
    x = 288.23

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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.