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Finding the Fourth Proportional to 187.74, 281.02 and 119.34

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Solution

The fourth proportional to 187.74, 281.02 and 119.34 is: 178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.74 : 281.02 = 119.34 : x
  2. Step 2: Convert to fraction form
    187.74/281.02 = 119.34/x
  3. Step 3: Cross multiply
    187.74x = 281.02 × 119.34
  4. Step 4: Simplify right side
    187.74x = 33,536.93
  5. Step 5: Solve for x
    x = 33,536.93/187.74
  6. Step 6: Final answer
    x = 178.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.