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Finding the Fourth Proportional to 277.48, 380.81 and 272.68

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Solution

The fourth proportional to 277.48, 380.81 and 272.68 is: 374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.48 : 380.81 = 272.68 : x
  2. Step 2: Convert to fraction form
    277.48/380.81 = 272.68/x
  3. Step 3: Cross multiply
    277.48x = 380.81 × 272.68
  4. Step 4: Simplify right side
    277.48x = 103,839.27
  5. Step 5: Solve for x
    x = 103,839.27/277.48
  6. Step 6: Final answer
    x = 374.22

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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.