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Finding the Fourth Proportional to 300.25, 450.17 and 117.66

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Solution

The fourth proportional to 300.25, 450.17 and 117.66 is: 176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.25 : 450.17 = 117.66 : x
  2. Step 2: Convert to fraction form
    300.25/450.17 = 117.66/x
  3. Step 3: Cross multiply
    300.25x = 450.17 × 117.66
  4. Step 4: Simplify right side
    300.25x = 52,968.54
  5. Step 5: Solve for x
    x = 52,968.54/300.25
  6. Step 6: Final answer
    x = 176.41

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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.