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Finding the Fourth Proportional to 187.68, 281.10 and 157.26

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Solution

The fourth proportional to 187.68, 281.10 and 157.26 is: 235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.68 : 281.10 = 157.26 : x
  2. Step 2: Convert to fraction form
    187.68/281.10 = 157.26/x
  3. Step 3: Cross multiply
    187.68x = 281.10 × 157.26
  4. Step 4: Simplify right side
    187.68x = 44,205.79
  5. Step 5: Solve for x
    x = 44,205.79/187.68
  6. Step 6: Final answer
    x = 235.54

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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.