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Finding the Fourth Proportional to 855.80, 1,283.70 and 206.54

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Solution

The fourth proportional to 855.80, 1,283.70 and 206.54 is: 309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.80 : 1,283.70 = 206.54 : x
  2. Step 2: Convert to fraction form
    855.80/1,283.70 = 206.54/x
  3. Step 3: Cross multiply
    855.80x = 1,283.70 × 206.54
  4. Step 4: Simplify right side
    855.80x = 265,128.98
  5. Step 5: Solve for x
    x = 265,128.98/855.80
  6. Step 6: Final answer
    x = 309.80

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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.