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Finding the Fourth Proportional to 285, 393.16 and 186.80

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Solution

The fourth proportional to 285, 393.16 and 186.80 is: 257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285 : 393.16 = 186.80 : x
  2. Step 2: Convert to fraction form
    285/393.16 = 186.80/x
  3. Step 3: Cross multiply
    285x = 393.16 × 186.80
  4. Step 4: Simplify right side
    285x = 73,442.29
  5. Step 5: Solve for x
    x = 73,442.29/285
  6. Step 6: Final answer
    x = 257.69

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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.