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Finding the Fourth Proportional to 611.26, 917.09 and 194.86

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Solution

The fourth proportional to 611.26, 917.09 and 194.86 is: 292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.26 : 917.09 = 194.86 : x
  2. Step 2: Convert to fraction form
    611.26/917.09 = 194.86/x
  3. Step 3: Cross multiply
    611.26x = 917.09 × 194.86
  4. Step 4: Simplify right side
    611.26x = 178,704.16
  5. Step 5: Solve for x
    x = 178,704.16/611.26
  6. Step 6: Final answer
    x = 292.35

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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.