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Finding the Fourth Proportional to 593.52, 890.21 and 182.66

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Solution

The fourth proportional to 593.52, 890.21 and 182.66 is: 273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.52 : 890.21 = 182.66 : x
  2. Step 2: Convert to fraction form
    593.52/890.21 = 182.66/x
  3. Step 3: Cross multiply
    593.52x = 890.21 × 182.66
  4. Step 4: Simplify right side
    593.52x = 162,600.39
  5. Step 5: Solve for x
    x = 162,600.39/593.52
  6. Step 6: Final answer
    x = 273.96

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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.