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Finding the Fourth Proportional to 299.30, 448.63 and 116.51

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Solution

The fourth proportional to 299.30, 448.63 and 116.51 is: 174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.30 : 448.63 = 116.51 : x
  2. Step 2: Convert to fraction form
    299.30/448.63 = 116.51/x
  3. Step 3: Cross multiply
    299.30x = 448.63 × 116.51
  4. Step 4: Simplify right side
    299.30x = 52,267.35
  5. Step 5: Solve for x
    x = 52,267.35/299.30
  6. Step 6: Final answer
    x = 174.63

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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.