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Finding the Fourth Proportional to 188.64, 282.96 and 60.39

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Solution

The fourth proportional to 188.64, 282.96 and 60.39 is: 90.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.64 : 282.96 = 60.39 : x
  2. Step 2: Convert to fraction form
    188.64/282.96 = 60.39/x
  3. Step 3: Cross multiply
    188.64x = 282.96 × 60.39
  4. Step 4: Simplify right side
    188.64x = 17,087.95
  5. Step 5: Solve for x
    x = 17,087.95/188.64
  6. Step 6: Final answer
    x = 90.59

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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.