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Finding the Fourth Proportional to 338.83, 467.60 and 206.01

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Solution

The fourth proportional to 338.83, 467.60 and 206.01 is: 284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.83 : 467.60 = 206.01 : x
  2. Step 2: Convert to fraction form
    338.83/467.60 = 206.01/x
  3. Step 3: Cross multiply
    338.83x = 467.60 × 206.01
  4. Step 4: Simplify right side
    338.83x = 96,329.25
  5. Step 5: Solve for x
    x = 96,329.25/338.83
  6. Step 6: Final answer
    x = 284.30

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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.