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Finding the Fourth Proportional to 188.62, 282.66 and 107.44

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Solution

The fourth proportional to 188.62, 282.66 and 107.44 is: 161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.62 : 282.66 = 107.44 : x
  2. Step 2: Convert to fraction form
    188.62/282.66 = 107.44/x
  3. Step 3: Cross multiply
    188.62x = 282.66 × 107.44
  4. Step 4: Simplify right side
    188.62x = 30,368.99
  5. Step 5: Solve for x
    x = 30,368.99/188.62
  6. Step 6: Final answer
    x = 161.01

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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.