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Finding the Fourth Proportional to 285, 393.06 and 185.29

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Solution

The fourth proportional to 285, 393.06 and 185.29 is: 255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285 : 393.06 = 185.29 : x
  2. Step 2: Convert to fraction form
    285/393.06 = 185.29/x
  3. Step 3: Cross multiply
    285x = 393.06 × 185.29
  4. Step 4: Simplify right side
    285x = 72,830.09
  5. Step 5: Solve for x
    x = 72,830.09/285
  6. Step 6: Final answer
    x = 255.54

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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.