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Finding the Fourth Proportional to 613.10, 919.66 and 180.30

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Solution

The fourth proportional to 613.10, 919.66 and 180.30 is: 270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.10 : 919.66 = 180.30 : x
  2. Step 2: Convert to fraction form
    613.10/919.66 = 180.30/x
  3. Step 3: Cross multiply
    613.10x = 919.66 × 180.30
  4. Step 4: Simplify right side
    613.10x = 165,814.70
  5. Step 5: Solve for x
    x = 165,814.70/613.10
  6. Step 6: Final answer
    x = 270.45

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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.