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Finding the Fourth Proportional to 611.91, 917.51 and 200.93

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Solution

The fourth proportional to 611.91, 917.51 and 200.93 is: 301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.91 : 917.51 = 200.93 : x
  2. Step 2: Convert to fraction form
    611.91/917.51 = 200.93/x
  3. Step 3: Cross multiply
    611.91x = 917.51 × 200.93
  4. Step 4: Simplify right side
    611.91x = 184,349.69
  5. Step 5: Solve for x
    x = 184,349.69/611.91
  6. Step 6: Final answer
    x = 301.27

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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.