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Finding the Fourth Proportional to 303.38, 418.52 and 185.31

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Solution

The fourth proportional to 303.38, 418.52 and 185.31 is: 255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.38 : 418.52 = 185.31 : x
  2. Step 2: Convert to fraction form
    303.38/418.52 = 185.31/x
  3. Step 3: Cross multiply
    303.38x = 418.52 × 185.31
  4. Step 4: Simplify right side
    303.38x = 77,555.01
  5. Step 5: Solve for x
    x = 77,555.01/303.38
  6. Step 6: Final answer
    x = 255.64

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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.