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Finding the Fourth Proportional to 188.70, 281.10 and 180.46

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Solution

The fourth proportional to 188.70, 281.10 and 180.46 is: 268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.70 : 281.10 = 180.46 : x
  2. Step 2: Convert to fraction form
    188.70/281.10 = 180.46/x
  3. Step 3: Cross multiply
    188.70x = 281.10 × 180.46
  4. Step 4: Simplify right side
    188.70x = 50,727.31
  5. Step 5: Solve for x
    x = 50,727.31/188.70
  6. Step 6: Final answer
    x = 268.83

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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.