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Finding the Fourth Proportional to 185.18, 255.64 and 184.58

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Solution

The fourth proportional to 185.18, 255.64 and 184.58 is: 254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.18 : 255.64 = 184.58 : x
  2. Step 2: Convert to fraction form
    185.18/255.64 = 184.58/x
  3. Step 3: Cross multiply
    185.18x = 255.64 × 184.58
  4. Step 4: Simplify right side
    185.18x = 47,184.75
  5. Step 5: Solve for x
    x = 47,184.75/185.18
  6. Step 6: Final answer
    x = 254.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.