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Finding the Fourth Proportional to 283.02, 390.06 and 205.26

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Solution

The fourth proportional to 283.02, 390.06 and 205.26 is: 282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.02 : 390.06 = 205.26 : x
  2. Step 2: Convert to fraction form
    283.02/390.06 = 205.26/x
  3. Step 3: Cross multiply
    283.02x = 390.06 × 205.26
  4. Step 4: Simplify right side
    283.02x = 80,063.72
  5. Step 5: Solve for x
    x = 80,063.72/283.02
  6. Step 6: Final answer
    x = 282.89

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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.