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Finding the Fourth Proportional to 186.44, 256.68 and 174.20

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Solution

The fourth proportional to 186.44, 256.68 and 174.20 is: 239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.44 : 256.68 = 174.20 : x
  2. Step 2: Convert to fraction form
    186.44/256.68 = 174.20/x
  3. Step 3: Cross multiply
    186.44x = 256.68 × 174.20
  4. Step 4: Simplify right side
    186.44x = 44,713.66
  5. Step 5: Solve for x
    x = 44,713.66/186.44
  6. Step 6: Final answer
    x = 239.83

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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.