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Finding the Fourth Proportional to 186.07, 256.73 and 120.56

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Solution

The fourth proportional to 186.07, 256.73 and 120.56 is: 166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.07 : 256.73 = 120.56 : x
  2. Step 2: Convert to fraction form
    186.07/256.73 = 120.56/x
  3. Step 3: Cross multiply
    186.07x = 256.73 × 120.56
  4. Step 4: Simplify right side
    186.07x = 30,950.90
  5. Step 5: Solve for x
    x = 30,950.90/186.07
  6. Step 6: Final answer
    x = 166.34

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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.