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Finding the Fourth Proportional to 274.71, 411.50 and 183.45

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Solution

The fourth proportional to 274.71, 411.50 and 183.45 is: 274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.71 : 411.50 = 183.45 : x
  2. Step 2: Convert to fraction form
    274.71/411.50 = 183.45/x
  3. Step 3: Cross multiply
    274.71x = 411.50 × 183.45
  4. Step 4: Simplify right side
    274.71x = 75,490.13
  5. Step 5: Solve for x
    x = 75,490.13/274.71
  6. Step 6: Final answer
    x = 274.80

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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.