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Finding the Fourth Proportional to 188.75, 283.18 and 80.55

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Solution

The fourth proportional to 188.75, 283.18 and 80.55 is: 120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.75 : 283.18 = 80.55 : x
  2. Step 2: Convert to fraction form
    188.75/283.18 = 80.55/x
  3. Step 3: Cross multiply
    188.75x = 283.18 × 80.55
  4. Step 4: Simplify right side
    188.75x = 22,810.15
  5. Step 5: Solve for x
    x = 22,810.15/188.75
  6. Step 6: Final answer
    x = 120.85

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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.