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Finding the Fourth Proportional to 271.94, 405.70 and 232.97

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Solution

The fourth proportional to 271.94, 405.70 and 232.97 is: 347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.94 : 405.70 = 232.97 : x
  2. Step 2: Convert to fraction form
    271.94/405.70 = 232.97/x
  3. Step 3: Cross multiply
    271.94x = 405.70 × 232.97
  4. Step 4: Simplify right side
    271.94x = 94,513.32
  5. Step 5: Solve for x
    x = 94,513.32/271.94
  6. Step 6: Final answer
    x = 347.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.