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Finding the Fourth Proportional to 593.63, 890.41 and 160.75

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Solution

The fourth proportional to 593.63, 890.41 and 160.75 is: 241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.63 : 890.41 = 160.75 : x
  2. Step 2: Convert to fraction form
    593.63/890.41 = 160.75/x
  3. Step 3: Cross multiply
    593.63x = 890.41 × 160.75
  4. Step 4: Simplify right side
    593.63x = 143,133.41
  5. Step 5: Solve for x
    x = 143,133.41/593.63
  6. Step 6: Final answer
    x = 241.12

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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.