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Finding the Fourth Proportional to 274.01, 411.80 and 183.33

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Solution

The fourth proportional to 274.01, 411.80 and 183.33 is: 275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.01 : 411.80 = 183.33 : x
  2. Step 2: Convert to fraction form
    274.01/411.80 = 183.33/x
  3. Step 3: Cross multiply
    274.01x = 411.80 × 183.33
  4. Step 4: Simplify right side
    274.01x = 75,494.38
  5. Step 5: Solve for x
    x = 75,494.38/274.01
  6. Step 6: Final answer
    x = 275.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.