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Finding the Fourth Proportional to 303.22, 418.40 and 185.16

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Solution

The fourth proportional to 303.22, 418.40 and 185.16 is: 255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.22 : 418.40 = 185.16 : x
  2. Step 2: Convert to fraction form
    303.22/418.40 = 185.16/x
  3. Step 3: Cross multiply
    303.22x = 418.40 × 185.16
  4. Step 4: Simplify right side
    303.22x = 77,470.94
  5. Step 5: Solve for x
    x = 77,470.94/303.22
  6. Step 6: Final answer
    x = 255.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.