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Finding the Fourth Proportional to 187.68, 282.18 and 163.79

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Solution

The fourth proportional to 187.68, 282.18 and 163.79 is: 246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.68 : 282.18 = 163.79 : x
  2. Step 2: Convert to fraction form
    187.68/282.18 = 163.79/x
  3. Step 3: Cross multiply
    187.68x = 282.18 × 163.79
  4. Step 4: Simplify right side
    187.68x = 46,218.26
  5. Step 5: Solve for x
    x = 46,218.26/187.68
  6. Step 6: Final answer
    x = 246.26

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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.