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Finding the Fourth Proportional to 283.39, 390.83 and 205.22

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Solution

The fourth proportional to 283.39, 390.83 and 205.22 is: 283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.39 : 390.83 = 205.22 : x
  2. Step 2: Convert to fraction form
    283.39/390.83 = 205.22/x
  3. Step 3: Cross multiply
    283.39x = 390.83 × 205.22
  4. Step 4: Simplify right side
    283.39x = 80,206.08
  5. Step 5: Solve for x
    x = 80,206.08/283.39
  6. Step 6: Final answer
    x = 283.03

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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.