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Finding the Fourth Proportional to 188.60, 281.05 and 182.41

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Solution

The fourth proportional to 188.60, 281.05 and 182.41 is: 271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.60 : 281.05 = 182.41 : x
  2. Step 2: Convert to fraction form
    188.60/281.05 = 182.41/x
  3. Step 3: Cross multiply
    188.60x = 281.05 × 182.41
  4. Step 4: Simplify right side
    188.60x = 51,266.99
  5. Step 5: Solve for x
    x = 51,266.99/188.60
  6. Step 6: Final answer
    x = 271.82

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Why These Related Problems?

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