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Finding the Fourth Proportional to 186.46, 257.24 and 120.94

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Solution

The fourth proportional to 186.46, 257.24 and 120.94 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.46 : 257.24 = 120.94 : x
  2. Step 2: Convert to fraction form
    186.46/257.24 = 120.94/x
  3. Step 3: Cross multiply
    186.46x = 257.24 × 120.94
  4. Step 4: Simplify right side
    186.46x = 31,110.26
  5. Step 5: Solve for x
    x = 31,110.26/186.46
  6. Step 6: Final answer
    x = 166.85

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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.