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Finding the Fourth Proportional to 185.94, 256.71 and 119.58

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Solution

The fourth proportional to 185.94, 256.71 and 119.58 is: 165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.94 : 256.71 = 119.58 : x
  2. Step 2: Convert to fraction form
    185.94/256.71 = 119.58/x
  3. Step 3: Cross multiply
    185.94x = 256.71 × 119.58
  4. Step 4: Simplify right side
    185.94x = 30,697.07
  5. Step 5: Solve for x
    x = 30,697.07/185.94
  6. Step 6: Final answer
    x = 165.09

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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.