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Finding the Fourth Proportional to 188.23, 282.07 and 106.96

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Solution

The fourth proportional to 188.23, 282.07 and 106.96 is: 160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.23 : 282.07 = 106.96 : x
  2. Step 2: Convert to fraction form
    188.23/282.07 = 106.96/x
  3. Step 3: Cross multiply
    188.23x = 282.07 × 106.96
  4. Step 4: Simplify right side
    188.23x = 30,170.21
  5. Step 5: Solve for x
    x = 30,170.21/188.23
  6. Step 6: Final answer
    x = 160.28

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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.