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Finding the Fourth Proportional to 245.97, 369.02 and 83.64

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Solution

The fourth proportional to 245.97, 369.02 and 83.64 is: 125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.97 : 369.02 = 83.64 : x
  2. Step 2: Convert to fraction form
    245.97/369.02 = 83.64/x
  3. Step 3: Cross multiply
    245.97x = 369.02 × 83.64
  4. Step 4: Simplify right side
    245.97x = 30,864.83
  5. Step 5: Solve for x
    x = 30,864.83/245.97
  6. Step 6: Final answer
    x = 125.48

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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.