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Finding the Fourth Proportional to 264.94, 397.07 and 127.72

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Solution

The fourth proportional to 264.94, 397.07 and 127.72 is: 191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.94 : 397.07 = 127.72 : x
  2. Step 2: Convert to fraction form
    264.94/397.07 = 127.72/x
  3. Step 3: Cross multiply
    264.94x = 397.07 × 127.72
  4. Step 4: Simplify right side
    264.94x = 50,713.78
  5. Step 5: Solve for x
    x = 50,713.78/264.94
  6. Step 6: Final answer
    x = 191.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.