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Finding the Fourth Proportional to 274.27, 411.41 and 153.31

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Solution

The fourth proportional to 274.27, 411.41 and 153.31 is: 229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.27 : 411.41 = 153.31 : x
  2. Step 2: Convert to fraction form
    274.27/411.41 = 153.31/x
  3. Step 3: Cross multiply
    274.27x = 411.41 × 153.31
  4. Step 4: Simplify right side
    274.27x = 63,071.21
  5. Step 5: Solve for x
    x = 63,071.21/274.27
  6. Step 6: Final answer
    x = 229.96

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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.