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Finding the Fourth Proportional to 515.10, 772.68 and 190.44

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Solution

The fourth proportional to 515.10, 772.68 and 190.44 is: 285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.10 : 772.68 = 190.44 : x
  2. Step 2: Convert to fraction form
    515.10/772.68 = 190.44/x
  3. Step 3: Cross multiply
    515.10x = 772.68 × 190.44
  4. Step 4: Simplify right side
    515.10x = 147,149.18
  5. Step 5: Solve for x
    x = 147,149.18/515.10
  6. Step 6: Final answer
    x = 285.67

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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.