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Finding the Fourth Proportional to 187.45, 280.63 and 119.05

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Solution

The fourth proportional to 187.45, 280.63 and 119.05 is: 178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.45 : 280.63 = 119.05 : x
  2. Step 2: Convert to fraction form
    187.45/280.63 = 119.05/x
  3. Step 3: Cross multiply
    187.45x = 280.63 × 119.05
  4. Step 4: Simplify right side
    187.45x = 33,409.00
  5. Step 5: Solve for x
    x = 33,409.00/187.45
  6. Step 6: Final answer
    x = 178.23

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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.