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Finding the Fourth Proportional to 593.24, 889.50 and 182.26

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Solution

The fourth proportional to 593.24, 889.50 and 182.26 is: 273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.24 : 889.50 = 182.26 : x
  2. Step 2: Convert to fraction form
    593.24/889.50 = 182.26/x
  3. Step 3: Cross multiply
    593.24x = 889.50 × 182.26
  4. Step 4: Simplify right side
    593.24x = 162,120.27
  5. Step 5: Solve for x
    x = 162,120.27/593.24
  6. Step 6: Final answer
    x = 273.28

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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.