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Finding the Fourth Proportional to 517.10, 774.96 and 192.14

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Solution

The fourth proportional to 517.10, 774.96 and 192.14 is: 287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.10 : 774.96 = 192.14 : x
  2. Step 2: Convert to fraction form
    517.10/774.96 = 192.14/x
  3. Step 3: Cross multiply
    517.10x = 774.96 × 192.14
  4. Step 4: Simplify right side
    517.10x = 148,900.81
  5. Step 5: Solve for x
    x = 148,900.81/517.10
  6. Step 6: Final answer
    x = 287.95

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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.