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Finding the Fourth Proportional to 299.06, 448.20 and 116.30

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Solution

The fourth proportional to 299.06, 448.20 and 116.30 is: 174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.06 : 448.20 = 116.30 : x
  2. Step 2: Convert to fraction form
    299.06/448.20 = 116.30/x
  3. Step 3: Cross multiply
    299.06x = 448.20 × 116.30
  4. Step 4: Simplify right side
    299.06x = 52,125.66
  5. Step 5: Solve for x
    x = 52,125.66/299.06
  6. Step 6: Final answer
    x = 174.30

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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.