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Finding the Fourth Proportional to 613.22, 919.64 and 202.27

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Solution

The fourth proportional to 613.22, 919.64 and 202.27 is: 303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.22 : 919.64 = 202.27 : x
  2. Step 2: Convert to fraction form
    613.22/919.64 = 202.27/x
  3. Step 3: Cross multiply
    613.22x = 919.64 × 202.27
  4. Step 4: Simplify right side
    613.22x = 186,014.57
  5. Step 5: Solve for x
    x = 186,014.57/613.22
  6. Step 6: Final answer
    x = 303.34

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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.