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Finding the Fourth Proportional to 186.28, 257.22 and 133.94

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Solution

The fourth proportional to 186.28, 257.22 and 133.94 is: 184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.28 : 257.22 = 133.94 : x
  2. Step 2: Convert to fraction form
    186.28/257.22 = 133.94/x
  3. Step 3: Cross multiply
    186.28x = 257.22 × 133.94
  4. Step 4: Simplify right side
    186.28x = 34,450.76
  5. Step 5: Solve for x
    x = 34,450.76/186.28
  6. Step 6: Final answer
    x = 184.94

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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.