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Finding the Fourth Proportional to 188.64, 282.62 and 120.28

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Solution

The fourth proportional to 188.64, 282.62 and 120.28 is: 180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.64 : 282.62 = 120.28 : x
  2. Step 2: Convert to fraction form
    188.64/282.62 = 120.28/x
  3. Step 3: Cross multiply
    188.64x = 282.62 × 120.28
  4. Step 4: Simplify right side
    188.64x = 33,993.53
  5. Step 5: Solve for x
    x = 33,993.53/188.64
  6. Step 6: Final answer
    x = 180.20

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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.