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Finding the Fourth Proportional to 516.17, 774.25 and 126.17

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Solution

The fourth proportional to 516.17, 774.25 and 126.17 is: 189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.17 : 774.25 = 126.17 : x
  2. Step 2: Convert to fraction form
    516.17/774.25 = 126.17/x
  3. Step 3: Cross multiply
    516.17x = 774.25 × 126.17
  4. Step 4: Simplify right side
    516.17x = 97,688.74
  5. Step 5: Solve for x
    x = 97,688.74/516.17
  6. Step 6: Final answer
    x = 189.26

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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.