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Finding the Fourth Proportional to 187.72, 281.42 and 164.84

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Solution

The fourth proportional to 187.72, 281.42 and 164.84 is: 247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.72 : 281.42 = 164.84 : x
  2. Step 2: Convert to fraction form
    187.72/281.42 = 164.84/x
  3. Step 3: Cross multiply
    187.72x = 281.42 × 164.84
  4. Step 4: Simplify right side
    187.72x = 46,389.27
  5. Step 5: Solve for x
    x = 46,389.27/187.72
  6. Step 6: Final answer
    x = 247.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.