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Finding the Fourth Proportional to 188.56, 281.03 and 180.52

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Solution

The fourth proportional to 188.56, 281.03 and 180.52 is: 269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.56 : 281.03 = 180.52 : x
  2. Step 2: Convert to fraction form
    188.56/281.03 = 180.52/x
  3. Step 3: Cross multiply
    188.56x = 281.03 × 180.52
  4. Step 4: Simplify right side
    188.56x = 50,731.54
  5. Step 5: Solve for x
    x = 50,731.54/188.56
  6. Step 6: Final answer
    x = 269.05

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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.