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Finding the Fourth Proportional to 188.10, 280.49 and 182.16

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Solution

The fourth proportional to 188.10, 280.49 and 182.16 is: 271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.10 : 280.49 = 182.16 : x
  2. Step 2: Convert to fraction form
    188.10/280.49 = 182.16/x
  3. Step 3: Cross multiply
    188.10x = 280.49 × 182.16
  4. Step 4: Simplify right side
    188.10x = 51,093.15
  5. Step 5: Solve for x
    x = 51,093.15/188.10
  6. Step 6: Final answer
    x = 271.63

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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.