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Finding the Fourth Proportional to 188, 282 and 83.96

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Solution

The fourth proportional to 188, 282 and 83.96 is: 125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188 : 282 = 83.96 : x
  2. Step 2: Convert to fraction form
    188/282 = 83.96/x
  3. Step 3: Cross multiply
    188x = 282 × 83.96
  4. Step 4: Simplify right side
    188x = 23,676.72
  5. Step 5: Solve for x
    x = 23,676.72/188
  6. Step 6: Final answer
    x = 125.94

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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.