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Finding the Fourth Proportional to 184.99, 256.31 and 182.77

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Solution

The fourth proportional to 184.99, 256.31 and 182.77 is: 253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.99 : 256.31 = 182.77 : x
  2. Step 2: Convert to fraction form
    184.99/256.31 = 182.77/x
  3. Step 3: Cross multiply
    184.99x = 256.31 × 182.77
  4. Step 4: Simplify right side
    184.99x = 46,845.78
  5. Step 5: Solve for x
    x = 46,845.78/184.99
  6. Step 6: Final answer
    x = 253.23

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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.