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Finding the Fourth Proportional to 185.89, 256.07 and 146.41

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Solution

The fourth proportional to 185.89, 256.07 and 146.41 is: 201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.89 : 256.07 = 146.41 : x
  2. Step 2: Convert to fraction form
    185.89/256.07 = 146.41/x
  3. Step 3: Cross multiply
    185.89x = 256.07 × 146.41
  4. Step 4: Simplify right side
    185.89x = 37,491.21
  5. Step 5: Solve for x
    x = 37,491.21/185.89
  6. Step 6: Final answer
    x = 201.68

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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.