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Finding the Fourth Proportional to 188.36, 282.27 and 107.23

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Solution

The fourth proportional to 188.36, 282.27 and 107.23 is: 160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.36 : 282.27 = 107.23 : x
  2. Step 2: Convert to fraction form
    188.36/282.27 = 107.23/x
  3. Step 3: Cross multiply
    188.36x = 282.27 × 107.23
  4. Step 4: Simplify right side
    188.36x = 30,267.11
  5. Step 5: Solve for x
    x = 30,267.11/188.36
  6. Step 6: Final answer
    x = 160.69

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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.