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Finding the Fourth Proportional to 185.67, 256.07 and 133.23

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Solution

The fourth proportional to 185.67, 256.07 and 133.23 is: 183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.67 : 256.07 = 133.23 : x
  2. Step 2: Convert to fraction form
    185.67/256.07 = 133.23/x
  3. Step 3: Cross multiply
    185.67x = 256.07 × 133.23
  4. Step 4: Simplify right side
    185.67x = 34,116.21
  5. Step 5: Solve for x
    x = 34,116.21/185.67
  6. Step 6: Final answer
    x = 183.75

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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.