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Finding the Fourth Proportional to 299.54, 448.95 and 107.06

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Solution

The fourth proportional to 299.54, 448.95 and 107.06 is: 160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.54 : 448.95 = 107.06 : x
  2. Step 2: Convert to fraction form
    299.54/448.95 = 107.06/x
  3. Step 3: Cross multiply
    299.54x = 448.95 × 107.06
  4. Step 4: Simplify right side
    299.54x = 48,064.59
  5. Step 5: Solve for x
    x = 48,064.59/299.54
  6. Step 6: Final answer
    x = 160.46

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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.