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Finding the Fourth Proportional to 593.94, 890.91 and 161.09

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Solution

The fourth proportional to 593.94, 890.91 and 161.09 is: 241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.94 : 890.91 = 161.09 : x
  2. Step 2: Convert to fraction form
    593.94/890.91 = 161.09/x
  3. Step 3: Cross multiply
    593.94x = 890.91 × 161.09
  4. Step 4: Simplify right side
    593.94x = 143,516.69
  5. Step 5: Solve for x
    x = 143,516.69/593.94
  6. Step 6: Final answer
    x = 241.64

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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.