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Finding the Fourth Proportional to 188.60, 282.83 and 66.83

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Solution

The fourth proportional to 188.60, 282.83 and 66.83 is: 100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.60 : 282.83 = 66.83 : x
  2. Step 2: Convert to fraction form
    188.60/282.83 = 66.83/x
  3. Step 3: Cross multiply
    188.60x = 282.83 × 66.83
  4. Step 4: Simplify right side
    188.60x = 18,899.78
  5. Step 5: Solve for x
    x = 18,899.78/188.60
  6. Step 6: Final answer
    x = 100.21

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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.