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Finding the Fourth Proportional to 185.76, 254.75 and 184.32

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Solution

The fourth proportional to 185.76, 254.75 and 184.32 is: 252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 254.75 = 184.32 : x
  2. Step 2: Convert to fraction form
    185.76/254.75 = 184.32/x
  3. Step 3: Cross multiply
    185.76x = 254.75 × 184.32
  4. Step 4: Simplify right side
    185.76x = 46,954.60
  5. Step 5: Solve for x
    x = 46,954.60/185.76
  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.