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Finding the Fourth Proportional to 593.77, 890.66 and 160.96

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Solution

The fourth proportional to 593.77, 890.66 and 160.96 is: 241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.77 : 890.66 = 160.96 : x
  2. Step 2: Convert to fraction form
    593.77/890.66 = 160.96/x
  3. Step 3: Cross multiply
    593.77x = 890.66 × 160.96
  4. Step 4: Simplify right side
    593.77x = 143,360.63
  5. Step 5: Solve for x
    x = 143,360.63/593.77
  6. Step 6: Final answer
    x = 241.44

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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.