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Finding the Fourth Proportional to 186.77, 281.49 and 184.94

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Solution

The fourth proportional to 186.77, 281.49 and 184.94 is: 278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.77 : 281.49 = 184.94 : x
  2. Step 2: Convert to fraction form
    186.77/281.49 = 184.94/x
  3. Step 3: Cross multiply
    186.77x = 281.49 × 184.94
  4. Step 4: Simplify right side
    186.77x = 52,058.76
  5. Step 5: Solve for x
    x = 52,058.76/186.77
  6. Step 6: Final answer
    x = 278.73

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