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Finding the Fourth Proportional to 611.63, 917.37 and 200.66

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Solution

The fourth proportional to 611.63, 917.37 and 200.66 is: 300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.63 : 917.37 = 200.66 : x
  2. Step 2: Convert to fraction form
    611.63/917.37 = 200.66/x
  3. Step 3: Cross multiply
    611.63x = 917.37 × 200.66
  4. Step 4: Simplify right side
    611.63x = 184,077.57
  5. Step 5: Solve for x
    x = 184,077.57/611.63
  6. Step 6: Final answer
    x = 300.96

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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.