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Finding the Fourth Proportional to 199.64, 273.82 and 184.52

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Solution

The fourth proportional to 199.64, 273.82 and 184.52 is: 253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.64 : 273.82 = 184.52 : x
  2. Step 2: Convert to fraction form
    199.64/273.82 = 184.52/x
  3. Step 3: Cross multiply
    199.64x = 273.82 × 184.52
  4. Step 4: Simplify right side
    199.64x = 50,525.27
  5. Step 5: Solve for x
    x = 50,525.27/199.64
  6. Step 6: Final answer
    x = 253.08

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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.