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Finding the Fourth Proportional to 593.21, 889.63 and 182.24

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Solution

The fourth proportional to 593.21, 889.63 and 182.24 is: 273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.21 : 889.63 = 182.24 : x
  2. Step 2: Convert to fraction form
    593.21/889.63 = 182.24/x
  3. Step 3: Cross multiply
    593.21x = 889.63 × 182.24
  4. Step 4: Simplify right side
    593.21x = 162,126.17
  5. Step 5: Solve for x
    x = 162,126.17/593.21
  6. Step 6: Final answer
    x = 273.30

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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.