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Finding the Fourth Proportional to 187.58, 281.39 and 178.84

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Solution

The fourth proportional to 187.58, 281.39 and 178.84 is: 268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.58 : 281.39 = 178.84 : x
  2. Step 2: Convert to fraction form
    187.58/281.39 = 178.84/x
  3. Step 3: Cross multiply
    187.58x = 281.39 × 178.84
  4. Step 4: Simplify right side
    187.58x = 50,323.79
  5. Step 5: Solve for x
    x = 50,323.79/187.58
  6. Step 6: Final answer
    x = 268.28

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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.