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Finding the Fourth Proportional to 274.50, 411.68 and 187.82

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Solution

The fourth proportional to 274.50, 411.68 and 187.82 is: 281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.50 : 411.68 = 187.82 : x
  2. Step 2: Convert to fraction form
    274.50/411.68 = 187.82/x
  3. Step 3: Cross multiply
    274.50x = 411.68 × 187.82
  4. Step 4: Simplify right side
    274.50x = 77,321.74
  5. Step 5: Solve for x
    x = 77,321.74/274.50
  6. Step 6: Final answer
    x = 281.68

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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.