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Finding the Fourth Proportional to 303.54, 418.71 and 205.32

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Solution

The fourth proportional to 303.54, 418.71 and 205.32 is: 283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.54 : 418.71 = 205.32 : x
  2. Step 2: Convert to fraction form
    303.54/418.71 = 205.32/x
  3. Step 3: Cross multiply
    303.54x = 418.71 × 205.32
  4. Step 4: Simplify right side
    303.54x = 85,969.54
  5. Step 5: Solve for x
    x = 85,969.54/303.54
  6. Step 6: Final answer
    x = 283.22

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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.