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Finding the Fourth Proportional to 188.99, 282.80 and 111.99

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Solution

The fourth proportional to 188.99, 282.80 and 111.99 is: 167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.99 : 282.80 = 111.99 : x
  2. Step 2: Convert to fraction form
    188.99/282.80 = 111.99/x
  3. Step 3: Cross multiply
    188.99x = 282.80 × 111.99
  4. Step 4: Simplify right side
    188.99x = 31,670.77
  5. Step 5: Solve for x
    x = 31,670.77/188.99
  6. Step 6: Final answer
    x = 167.58

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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.