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Finding the Fourth Proportional to 338.04, 466.44 and 205.25

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Solution

The fourth proportional to 338.04, 466.44 and 205.25 is: 283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.04 : 466.44 = 205.25 : x
  2. Step 2: Convert to fraction form
    338.04/466.44 = 205.25/x
  3. Step 3: Cross multiply
    338.04x = 466.44 × 205.25
  4. Step 4: Simplify right side
    338.04x = 95,734.48
  5. Step 5: Solve for x
    x = 95,734.48/338.04
  6. Step 6: Final answer
    x = 283.20

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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.