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Finding the Fourth Proportional to 187.17, 257.97 and 137.94

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Solution

The fourth proportional to 187.17, 257.97 and 137.94 is: 190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.17 : 257.97 = 137.94 : x
  2. Step 2: Convert to fraction form
    187.17/257.97 = 137.94/x
  3. Step 3: Cross multiply
    187.17x = 257.97 × 137.94
  4. Step 4: Simplify right side
    187.17x = 35,584.38
  5. Step 5: Solve for x
    x = 35,584.38/187.17
  6. Step 6: Final answer
    x = 190.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.