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Finding the Fourth Proportional to 186.56, 257.57 and 120.21

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Solution

The fourth proportional to 186.56, 257.57 and 120.21 is: 165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.56 : 257.57 = 120.21 : x
  2. Step 2: Convert to fraction form
    186.56/257.57 = 120.21/x
  3. Step 3: Cross multiply
    186.56x = 257.57 × 120.21
  4. Step 4: Simplify right side
    186.56x = 30,961.89
  5. Step 5: Solve for x
    x = 30,961.89/186.56
  6. Step 6: Final answer
    x = 165.96

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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.