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Finding the Fourth Proportional to 187.67, 282.07 and 155.38

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Solution

The fourth proportional to 187.67, 282.07 and 155.38 is: 233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.67 : 282.07 = 155.38 : x
  2. Step 2: Convert to fraction form
    187.67/282.07 = 155.38/x
  3. Step 3: Cross multiply
    187.67x = 282.07 × 155.38
  4. Step 4: Simplify right side
    187.67x = 43,828.85
  5. Step 5: Solve for x
    x = 43,828.85/187.67
  6. Step 6: Final answer
    x = 233.54

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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.