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Finding the Fourth Proportional to 186.86, 256.08 and 184.44

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Solution

The fourth proportional to 186.86, 256.08 and 184.44 is: 252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.86 : 256.08 = 184.44 : x
  2. Step 2: Convert to fraction form
    186.86/256.08 = 184.44/x
  3. Step 3: Cross multiply
    186.86x = 256.08 × 184.44
  4. Step 4: Simplify right side
    186.86x = 47,231.40
  5. Step 5: Solve for x
    x = 47,231.40/186.86
  6. Step 6: Final answer
    x = 252.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.