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Finding the Fourth Proportional to 187.40, 281.25 and 119.06

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Solution

The fourth proportional to 187.40, 281.25 and 119.06 is: 178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.40 : 281.25 = 119.06 : x
  2. Step 2: Convert to fraction form
    187.40/281.25 = 119.06/x
  3. Step 3: Cross multiply
    187.40x = 281.25 × 119.06
  4. Step 4: Simplify right side
    187.40x = 33,485.63
  5. Step 5: Solve for x
    x = 33,485.63/187.40
  6. Step 6: Final answer
    x = 178.69

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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.