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Finding the Fourth Proportional to 188.10, 280.22 and 182.43

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Solution

The fourth proportional to 188.10, 280.22 and 182.43 is: 271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.10 : 280.22 = 182.43 : x
  2. Step 2: Convert to fraction form
    188.10/280.22 = 182.43/x
  3. Step 3: Cross multiply
    188.10x = 280.22 × 182.43
  4. Step 4: Simplify right side
    188.10x = 51,119.62
  5. Step 5: Solve for x
    x = 51,119.62/188.10
  6. Step 6: Final answer
    x = 271.77

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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.