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Finding the Fourth Proportional to 593.94, 890.82 and 161.16

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Solution

The fourth proportional to 593.94, 890.82 and 161.16 is: 241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.94 : 890.82 = 161.16 : x
  2. Step 2: Convert to fraction form
    593.94/890.82 = 161.16/x
  3. Step 3: Cross multiply
    593.94x = 890.82 × 161.16
  4. Step 4: Simplify right side
    593.94x = 143,564.55
  5. Step 5: Solve for x
    x = 143,564.55/593.94
  6. Step 6: Final answer
    x = 241.72

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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.