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Finding the Fourth Proportional to 285.32, 393.30 and 206.36

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Solution

The fourth proportional to 285.32, 393.30 and 206.36 is: 284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.32 : 393.30 = 206.36 : x
  2. Step 2: Convert to fraction form
    285.32/393.30 = 206.36/x
  3. Step 3: Cross multiply
    285.32x = 393.30 × 206.36
  4. Step 4: Simplify right side
    285.32x = 81,161.39
  5. Step 5: Solve for x
    x = 81,161.39/285.32
  6. Step 6: Final answer
    x = 284.46

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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.