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Finding the Fourth Proportional to 919.93, 1,379.88 and 226.60

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Solution

The fourth proportional to 919.93, 1,379.88 and 226.60 is: 339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.93 : 1,379.88 = 226.60 : x
  2. Step 2: Convert to fraction form
    919.93/1,379.88 = 226.60/x
  3. Step 3: Cross multiply
    919.93x = 1,379.88 × 226.60
  4. Step 4: Simplify right side
    919.93x = 312,680.81
  5. Step 5: Solve for x
    x = 312,680.81/919.93
  6. Step 6: Final answer
    x = 339.90

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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.