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Finding the Fourth Proportional to 303.03, 418.28 and 204.93

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Solution

The fourth proportional to 303.03, 418.28 and 204.93 is: 282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.03 : 418.28 = 204.93 : x
  2. Step 2: Convert to fraction form
    303.03/418.28 = 204.93/x
  3. Step 3: Cross multiply
    303.03x = 418.28 × 204.93
  4. Step 4: Simplify right side
    303.03x = 85,718.12
  5. Step 5: Solve for x
    x = 85,718.12/303.03
  6. Step 6: Final answer
    x = 282.87

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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.