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Finding the Fourth Proportional to 186.58, 257.52 and 120.22

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Solution

The fourth proportional to 186.58, 257.52 and 120.22 is: 165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.58 : 257.52 = 120.22 : x
  2. Step 2: Convert to fraction form
    186.58/257.52 = 120.22/x
  3. Step 3: Cross multiply
    186.58x = 257.52 × 120.22
  4. Step 4: Simplify right side
    186.58x = 30,959.05
  5. Step 5: Solve for x
    x = 30,959.05/186.58
  6. Step 6: Final answer
    x = 165.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.