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Finding the Fourth Proportional to 205.63, 309.06 and 204.46

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Solution

The fourth proportional to 205.63, 309.06 and 204.46 is: 307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.63 : 309.06 = 204.46 : x
  2. Step 2: Convert to fraction form
    205.63/309.06 = 204.46/x
  3. Step 3: Cross multiply
    205.63x = 309.06 × 204.46
  4. Step 4: Simplify right side
    205.63x = 63,190.41
  5. Step 5: Solve for x
    x = 63,190.41/205.63
  6. Step 6: Final answer
    x = 307.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.