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Finding the Fourth Proportional to 264.06, 395.82 and 127.03

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Solution

The fourth proportional to 264.06, 395.82 and 127.03 is: 190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.06 : 395.82 = 127.03 : x
  2. Step 2: Convert to fraction form
    264.06/395.82 = 127.03/x
  3. Step 3: Cross multiply
    264.06x = 395.82 × 127.03
  4. Step 4: Simplify right side
    264.06x = 50,281.99
  5. Step 5: Solve for x
    x = 50,281.99/264.06
  6. Step 6: Final answer
    x = 190.42

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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.