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Finding the Fourth Proportional to 299.07, 448.62 and 104.07

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Solution

The fourth proportional to 299.07, 448.62 and 104.07 is: 156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.07 : 448.62 = 104.07 : x
  2. Step 2: Convert to fraction form
    299.07/448.62 = 104.07/x
  3. Step 3: Cross multiply
    299.07x = 448.62 × 104.07
  4. Step 4: Simplify right side
    299.07x = 46,687.88
  5. Step 5: Solve for x
    x = 46,687.88/299.07
  6. Step 6: Final answer
    x = 156.11

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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.