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Finding the Fourth Proportional to 303.47, 418.82 and 185.42

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Solution

The fourth proportional to 303.47, 418.82 and 185.42 is: 255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.47 : 418.82 = 185.42 : x
  2. Step 2: Convert to fraction form
    303.47/418.82 = 185.42/x
  3. Step 3: Cross multiply
    303.47x = 418.82 × 185.42
  4. Step 4: Simplify right side
    303.47x = 77,655.97
  5. Step 5: Solve for x
    x = 77,655.97/303.47
  6. Step 6: Final answer
    x = 255.90

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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.