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Finding the Fourth Proportional to 185.01, 253.10 and 184.23

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Solution

The fourth proportional to 185.01, 253.10 and 184.23 is: 252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.01 : 253.10 = 184.23 : x
  2. Step 2: Convert to fraction form
    185.01/253.10 = 184.23/x
  3. Step 3: Cross multiply
    185.01x = 253.10 × 184.23
  4. Step 4: Simplify right side
    185.01x = 46,627.69
  5. Step 5: Solve for x
    x = 46,627.69/185.01
  6. Step 6: Final answer
    x = 252.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.