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Finding the Fourth Proportional to 185.79, 256.29 and 120.23

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Solution

The fourth proportional to 185.79, 256.29 and 120.23 is: 165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.79 : 256.29 = 120.23 : x
  2. Step 2: Convert to fraction form
    185.79/256.29 = 120.23/x
  3. Step 3: Cross multiply
    185.79x = 256.29 × 120.23
  4. Step 4: Simplify right side
    185.79x = 30,812.47
  5. Step 5: Solve for x
    x = 30,812.47/185.79
  6. Step 6: Final answer
    x = 165.85

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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.