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Finding the Fourth Proportional to 305.39, 457.79 and 112.97

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Solution

The fourth proportional to 305.39, 457.79 and 112.97 is: 169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.39 : 457.79 = 112.97 : x
  2. Step 2: Convert to fraction form
    305.39/457.79 = 112.97/x
  3. Step 3: Cross multiply
    305.39x = 457.79 × 112.97
  4. Step 4: Simplify right side
    305.39x = 51,713.68
  5. Step 5: Solve for x
    x = 51,713.68/305.39
  6. Step 6: Final answer
    x = 169.34

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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.