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Finding the Fourth Proportional to 186.46, 281.80 and 183.26

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Solution

The fourth proportional to 186.46, 281.80 and 183.26 is: 276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.46 : 281.80 = 183.26 : x
  2. Step 2: Convert to fraction form
    186.46/281.80 = 183.26/x
  3. Step 3: Cross multiply
    186.46x = 281.80 × 183.26
  4. Step 4: Simplify right side
    186.46x = 51,641.75
  5. Step 5: Solve for x
    x = 51,641.75/186.46
  6. Step 6: Final answer
    x = 276.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.