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Finding the Fourth Proportional to 336.30, 464.14 and 205.40

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Solution

The fourth proportional to 336.30, 464.14 and 205.40 is: 283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.30 : 464.14 = 205.40 : x
  2. Step 2: Convert to fraction form
    336.30/464.14 = 205.40/x
  3. Step 3: Cross multiply
    336.30x = 464.14 × 205.40
  4. Step 4: Simplify right side
    336.30x = 95,334.36
  5. Step 5: Solve for x
    x = 95,334.36/336.30
  6. Step 6: Final answer
    x = 283.48

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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.