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Finding the Fourth Proportional to 186.50, 257.34 and 107.82

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Solution

The fourth proportional to 186.50, 257.34 and 107.82 is: 148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 257.34 = 107.82 : x
  2. Step 2: Convert to fraction form
    186.50/257.34 = 107.82/x
  3. Step 3: Cross multiply
    186.50x = 257.34 × 107.82
  4. Step 4: Simplify right side
    186.50x = 27,745.11
  5. Step 5: Solve for x
    x = 27,745.11/186.50
  6. Step 6: Final answer
    x = 148.77

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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.