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Finding the Fourth Proportional to 184.83, 256.70 and 181.86

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Solution

The fourth proportional to 184.83, 256.70 and 181.86 is: 252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.83 : 256.70 = 181.86 : x
  2. Step 2: Convert to fraction form
    184.83/256.70 = 181.86/x
  3. Step 3: Cross multiply
    184.83x = 256.70 × 181.86
  4. Step 4: Simplify right side
    184.83x = 46,682.55
  5. Step 5: Solve for x
    x = 46,682.55/184.83
  6. Step 6: Final answer
    x = 252.57

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.