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Finding the Fourth Proportional to 338.00, 466.55 and 205.29

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Solution

The fourth proportional to 338.00, 466.55 and 205.29 is: 283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.00 : 466.55 = 205.29 : x
  2. Step 2: Convert to fraction form
    338.00/466.55 = 205.29/x
  3. Step 3: Cross multiply
    338.00x = 466.55 × 205.29
  4. Step 4: Simplify right side
    338.00x = 95,777.02
  5. Step 5: Solve for x
    x = 95,777.02/338.00
  6. Step 6: Final answer
    x = 283.37

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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.