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Finding the Fourth Proportional to 516.78, 774.77 and 192.11

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Solution

The fourth proportional to 516.78, 774.77 and 192.11 is: 288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 774.77 = 192.11 : x
  2. Step 2: Convert to fraction form
    516.78/774.77 = 192.11/x
  3. Step 3: Cross multiply
    516.78x = 774.77 × 192.11
  4. Step 4: Simplify right side
    516.78x = 148,836.23
  5. Step 5: Solve for x
    x = 148,836.23/516.78
  6. Step 6: Final answer
    x = 288.01

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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.