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Finding the Fourth Proportional to 187.74, 281.66 and 153.41

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Solution

The fourth proportional to 187.74, 281.66 and 153.41 is: 230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.74 : 281.66 = 153.41 : x
  2. Step 2: Convert to fraction form
    187.74/281.66 = 153.41/x
  3. Step 3: Cross multiply
    187.74x = 281.66 × 153.41
  4. Step 4: Simplify right side
    187.74x = 43,207.29
  5. Step 5: Solve for x
    x = 43,207.29/187.74
  6. Step 6: Final answer
    x = 230.14

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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.