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Finding the Fourth Proportional to 283.09, 390.67 and 199.19

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Solution

The fourth proportional to 283.09, 390.67 and 199.19 is: 274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.09 : 390.67 = 199.19 : x
  2. Step 2: Convert to fraction form
    283.09/390.67 = 199.19/x
  3. Step 3: Cross multiply
    283.09x = 390.67 × 199.19
  4. Step 4: Simplify right side
    283.09x = 77,817.56
  5. Step 5: Solve for x
    x = 77,817.56/283.09
  6. Step 6: Final answer
    x = 274.89

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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.