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Finding the Fourth Proportional to 188.15, 282.14 and 96.83

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Solution

The fourth proportional to 188.15, 282.14 and 96.83 is: 145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.15 : 282.14 = 96.83 : x
  2. Step 2: Convert to fraction form
    188.15/282.14 = 96.83/x
  3. Step 3: Cross multiply
    188.15x = 282.14 × 96.83
  4. Step 4: Simplify right side
    188.15x = 27,317.72
  5. Step 5: Solve for x
    x = 27,317.72/188.15
  6. Step 6: Final answer
    x = 145.20

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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.