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Finding the Fourth Proportional to 185.42, 256.05 and 120.04

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Solution

The fourth proportional to 185.42, 256.05 and 120.04 is: 165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.42 : 256.05 = 120.04 : x
  2. Step 2: Convert to fraction form
    185.42/256.05 = 120.04/x
  3. Step 3: Cross multiply
    185.42x = 256.05 × 120.04
  4. Step 4: Simplify right side
    185.42x = 30,736.24
  5. Step 5: Solve for x
    x = 30,736.24/185.42
  6. Step 6: Final answer
    x = 165.77

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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.