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Finding the Fourth Proportional to 338.14, 466.64 and 205.36

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Solution

The fourth proportional to 338.14, 466.64 and 205.36 is: 283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.14 : 466.64 = 205.36 : x
  2. Step 2: Convert to fraction form
    338.14/466.64 = 205.36/x
  3. Step 3: Cross multiply
    338.14x = 466.64 × 205.36
  4. Step 4: Simplify right side
    338.14x = 95,829.19
  5. Step 5: Solve for x
    x = 95,829.19/338.14
  6. Step 6: Final answer
    x = 283.40

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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.