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Finding the Fourth Proportional to 593.14, 889.80 and 182.17

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Solution

The fourth proportional to 593.14, 889.80 and 182.17 is: 273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.14 : 889.80 = 182.17 : x
  2. Step 2: Convert to fraction form
    593.14/889.80 = 182.17/x
  3. Step 3: Cross multiply
    593.14x = 889.80 × 182.17
  4. Step 4: Simplify right side
    593.14x = 162,094.87
  5. Step 5: Solve for x
    x = 162,094.87/593.14
  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.