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Finding the Fourth Proportional to 187.68, 281.41 and 64.23

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Solution

The fourth proportional to 187.68, 281.41 and 64.23 is: 96.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.68 : 281.41 = 64.23 : x
  2. Step 2: Convert to fraction form
    187.68/281.41 = 64.23/x
  3. Step 3: Cross multiply
    187.68x = 281.41 × 64.23
  4. Step 4: Simplify right side
    187.68x = 18,074.96
  5. Step 5: Solve for x
    x = 18,074.96/187.68
  6. Step 6: Final answer
    x = 96.31

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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.