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Finding the Fourth Proportional to 187.73, 282.13 and 167.75

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Solution

The fourth proportional to 187.73, 282.13 and 167.75 is: 252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.73 : 282.13 = 167.75 : x
  2. Step 2: Convert to fraction form
    187.73/282.13 = 167.75/x
  3. Step 3: Cross multiply
    187.73x = 282.13 × 167.75
  4. Step 4: Simplify right side
    187.73x = 47,327.31
  5. Step 5: Solve for x
    x = 47,327.31/187.73
  6. Step 6: Final answer
    x = 252.10

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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.