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Finding the Fourth Proportional to 184.86, 256.19 and 182.25

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Solution

The fourth proportional to 184.86, 256.19 and 182.25 is: 252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.86 : 256.19 = 182.25 : x
  2. Step 2: Convert to fraction form
    184.86/256.19 = 182.25/x
  3. Step 3: Cross multiply
    184.86x = 256.19 × 182.25
  4. Step 4: Simplify right side
    184.86x = 46,689.72
  5. Step 5: Solve for x
    x = 46,689.72/184.86
  6. Step 6: Final answer
    x = 252.57

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Why These Related Problems?

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