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Finding the Fourth Proportional to 187.73, 282.04 and 177.36

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Solution

The fourth proportional to 187.73, 282.04 and 177.36 is: 266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.73 : 282.04 = 177.36 : x
  2. Step 2: Convert to fraction form
    187.73/282.04 = 177.36/x
  3. Step 3: Cross multiply
    187.73x = 282.04 × 177.36
  4. Step 4: Simplify right side
    187.73x = 50,021.73
  5. Step 5: Solve for x
    x = 50,021.73/187.73
  6. Step 6: Final answer
    x = 266.46

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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.