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Finding the Fourth Proportional to 188.14, 282.20 and 51.20

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Solution

The fourth proportional to 188.14, 282.20 and 51.20 is: 76.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.14 : 282.20 = 51.20 : x
  2. Step 2: Convert to fraction form
    188.14/282.20 = 51.20/x
  3. Step 3: Cross multiply
    188.14x = 282.20 × 51.20
  4. Step 4: Simplify right side
    188.14x = 14,449.47
  5. Step 5: Solve for x
    x = 14,449.47/188.14
  6. Step 6: Final answer
    x = 76.80

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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.