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Finding the Fourth Proportional to 387.99, 582.19 and 182.45

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Solution

The fourth proportional to 387.99, 582.19 and 182.45 is: 273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.99 : 582.19 = 182.45 : x
  2. Step 2: Convert to fraction form
    387.99/582.19 = 182.45/x
  3. Step 3: Cross multiply
    387.99x = 582.19 × 182.45
  4. Step 4: Simplify right side
    387.99x = 106,221.56
  5. Step 5: Solve for x
    x = 106,221.56/387.99
  6. Step 6: Final answer
    x = 273.77

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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.