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Finding the Fourth Proportional to 185.91, 256.70 and 133.56

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Solution

The fourth proportional to 185.91, 256.70 and 133.56 is: 184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.91 : 256.70 = 133.56 : x
  2. Step 2: Convert to fraction form
    185.91/256.70 = 133.56/x
  3. Step 3: Cross multiply
    185.91x = 256.70 × 133.56
  4. Step 4: Simplify right side
    185.91x = 34,285.19
  5. Step 5: Solve for x
    x = 34,285.19/185.91
  6. Step 6: Final answer
    x = 184.42

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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.