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Finding the Fourth Proportional to 283.67, 390.84 and 200.65

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Solution

The fourth proportional to 283.67, 390.84 and 200.65 is: 276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.67 : 390.84 = 200.65 : x
  2. Step 2: Convert to fraction form
    283.67/390.84 = 200.65/x
  3. Step 3: Cross multiply
    283.67x = 390.84 × 200.65
  4. Step 4: Simplify right side
    283.67x = 78,422.05
  5. Step 5: Solve for x
    x = 78,422.05/283.67
  6. Step 6: Final answer
    x = 276.46

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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.