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Finding the Fourth Proportional to 185.19, 252.01 and 184.28

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Solution

The fourth proportional to 185.19, 252.01 and 184.28 is: 250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.19 : 252.01 = 184.28 : x
  2. Step 2: Convert to fraction form
    185.19/252.01 = 184.28/x
  3. Step 3: Cross multiply
    185.19x = 252.01 × 184.28
  4. Step 4: Simplify right side
    185.19x = 46,439.37
  5. Step 5: Solve for x
    x = 46,439.37/185.19
  6. Step 6: Final answer
    x = 250.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.