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Finding the Fourth Proportional to 245.29, 368 and 82.96

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Solution

The fourth proportional to 245.29, 368 and 82.96 is: 124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.29 : 368 = 82.96 : x
  2. Step 2: Convert to fraction form
    245.29/368 = 82.96/x
  3. Step 3: Cross multiply
    245.29x = 368 × 82.96
  4. Step 4: Simplify right side
    245.29x = 30,529.28
  5. Step 5: Solve for x
    x = 30,529.28/245.29
  6. Step 6: Final answer
    x = 124.46

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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.