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Finding the Fourth Proportional to 593.15, 889.66 and 182.29

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Solution

The fourth proportional to 593.15, 889.66 and 182.29 is: 273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.15 : 889.66 = 182.29 : x
  2. Step 2: Convert to fraction form
    593.15/889.66 = 182.29/x
  3. Step 3: Cross multiply
    593.15x = 889.66 × 182.29
  4. Step 4: Simplify right side
    593.15x = 162,173.44
  5. Step 5: Solve for x
    x = 162,173.44/593.15
  6. Step 6: Final answer
    x = 273.41

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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.