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Finding the Fourth Proportional to 186.84, 257.94 and 123.83

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Solution

The fourth proportional to 186.84, 257.94 and 123.83 is: 170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.84 : 257.94 = 123.83 : x
  2. Step 2: Convert to fraction form
    186.84/257.94 = 123.83/x
  3. Step 3: Cross multiply
    186.84x = 257.94 × 123.83
  4. Step 4: Simplify right side
    186.84x = 31,940.74
  5. Step 5: Solve for x
    x = 31,940.74/186.84
  6. Step 6: Final answer
    x = 170.95

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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.