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Finding the Fourth Proportional to 301.31, 451.84 and 106.25

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Solution

The fourth proportional to 301.31, 451.84 and 106.25 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.31 : 451.84 = 106.25 : x
  2. Step 2: Convert to fraction form
    301.31/451.84 = 106.25/x
  3. Step 3: Cross multiply
    301.31x = 451.84 × 106.25
  4. Step 4: Simplify right side
    301.31x = 48,008.86
  5. Step 5: Solve for x
    x = 48,008.86/301.31
  6. Step 6: Final answer
    x = 159.33

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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.