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Finding the Fourth Proportional to 188.58, 282.44 and 165.80

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Solution

The fourth proportional to 188.58, 282.44 and 165.80 is: 248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.58 : 282.44 = 165.80 : x
  2. Step 2: Convert to fraction form
    188.58/282.44 = 165.80/x
  3. Step 3: Cross multiply
    188.58x = 282.44 × 165.80
  4. Step 4: Simplify right side
    188.58x = 46,828.55
  5. Step 5: Solve for x
    x = 46,828.55/188.58
  6. Step 6: Final answer
    x = 248.32

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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.