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Finding the Fourth Proportional to 516.61, 774.96 and 192.25

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Solution

The fourth proportional to 516.61, 774.96 and 192.25 is: 288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.61 : 774.96 = 192.25 : x
  2. Step 2: Convert to fraction form
    516.61/774.96 = 192.25/x
  3. Step 3: Cross multiply
    516.61x = 774.96 × 192.25
  4. Step 4: Simplify right side
    516.61x = 148,986.06
  5. Step 5: Solve for x
    x = 148,986.06/516.61
  6. Step 6: Final answer
    x = 288.39

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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.