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Finding the Fourth Proportional to 451.98, 677.88 and 127.26

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Solution

The fourth proportional to 451.98, 677.88 and 127.26 is: 190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.98 : 677.88 = 127.26 : x
  2. Step 2: Convert to fraction form
    451.98/677.88 = 127.26/x
  3. Step 3: Cross multiply
    451.98x = 677.88 × 127.26
  4. Step 4: Simplify right side
    451.98x = 86,267.01
  5. Step 5: Solve for x
    x = 86,267.01/451.98
  6. Step 6: Final answer
    x = 190.86

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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.