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Finding the Fourth Proportional to 451.63, 677.49 and 127

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Solution

The fourth proportional to 451.63, 677.49 and 127 is: 190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.63 : 677.49 = 127 : x
  2. Step 2: Convert to fraction form
    451.63/677.49 = 127/x
  3. Step 3: Cross multiply
    451.63x = 677.49 × 127
  4. Step 4: Simplify right side
    451.63x = 86,041.23
  5. Step 5: Solve for x
    x = 86,041.23/451.63
  6. Step 6: Final answer
    x = 190.51

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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.