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Finding the Fourth Proportional to 188.64, 281.21 and 185.68

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Solution

The fourth proportional to 188.64, 281.21 and 185.68 is: 276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.64 : 281.21 = 185.68 : x
  2. Step 2: Convert to fraction form
    188.64/281.21 = 185.68/x
  3. Step 3: Cross multiply
    188.64x = 281.21 × 185.68
  4. Step 4: Simplify right side
    188.64x = 52,215.07
  5. Step 5: Solve for x
    x = 52,215.07/188.64
  6. Step 6: Final answer
    x = 276.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.