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Finding the Fourth Proportional to 188.22, 282.87 and 111.20

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Solution

The fourth proportional to 188.22, 282.87 and 111.20 is: 167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.22 : 282.87 = 111.20 : x
  2. Step 2: Convert to fraction form
    188.22/282.87 = 111.20/x
  3. Step 3: Cross multiply
    188.22x = 282.87 × 111.20
  4. Step 4: Simplify right side
    188.22x = 31,454.21
  5. Step 5: Solve for x
    x = 31,454.21/188.22
  6. Step 6: Final answer
    x = 167.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.