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Finding the Fourth Proportional to 517.38, 775.90 and 192.70

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Solution

The fourth proportional to 517.38, 775.90 and 192.70 is: 288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.38 : 775.90 = 192.70 : x
  2. Step 2: Convert to fraction form
    517.38/775.90 = 192.70/x
  3. Step 3: Cross multiply
    517.38x = 775.90 × 192.70
  4. Step 4: Simplify right side
    517.38x = 149,515.93
  5. Step 5: Solve for x
    x = 149,515.93/517.38
  6. Step 6: Final answer
    x = 288.99

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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.