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Finding the Fourth Proportional to 299.19, 448.78 and 82.77

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Solution

The fourth proportional to 299.19, 448.78 and 82.77 is: 124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.19 : 448.78 = 82.77 : x
  2. Step 2: Convert to fraction form
    299.19/448.78 = 82.77/x
  3. Step 3: Cross multiply
    299.19x = 448.78 × 82.77
  4. Step 4: Simplify right side
    299.19x = 37,143.28
  5. Step 5: Solve for x
    x = 37,143.28/299.19
  6. Step 6: Final answer
    x = 124.15

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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.