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Finding the Fourth Proportional to 283.37, 390.87 and 185.09

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Solution

The fourth proportional to 283.37, 390.87 and 185.09 is: 255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.37 : 390.87 = 185.09 : x
  2. Step 2: Convert to fraction form
    283.37/390.87 = 185.09/x
  3. Step 3: Cross multiply
    283.37x = 390.87 × 185.09
  4. Step 4: Simplify right side
    283.37x = 72,344.17
  5. Step 5: Solve for x
    x = 72,344.17/283.37
  6. Step 6: Final answer
    x = 255.30

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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.