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Finding the Fourth Proportional to 298.77, 448.17 and 82.35

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Solution

The fourth proportional to 298.77, 448.17 and 82.35 is: 123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.77 : 448.17 = 82.35 : x
  2. Step 2: Convert to fraction form
    298.77/448.17 = 82.35/x
  3. Step 3: Cross multiply
    298.77x = 448.17 × 82.35
  4. Step 4: Simplify right side
    298.77x = 36,906.80
  5. Step 5: Solve for x
    x = 36,906.80/298.77
  6. Step 6: Final answer
    x = 123.53

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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.