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Finding the Fourth Proportional to 185.86, 256.74 and 149.28

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Solution

The fourth proportional to 185.86, 256.74 and 149.28 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.86 : 256.74 = 149.28 : x
  2. Step 2: Convert to fraction form
    185.86/256.74 = 149.28/x
  3. Step 3: Cross multiply
    185.86x = 256.74 × 149.28
  4. Step 4: Simplify right side
    185.86x = 38,326.15
  5. Step 5: Solve for x
    x = 38,326.15/185.86
  6. Step 6: Final answer
    x = 206.21

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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.