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Finding the Fourth Proportional to 300.22, 450.51 and 117.70

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Solution

The fourth proportional to 300.22, 450.51 and 117.70 is: 176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.22 : 450.51 = 117.70 : x
  2. Step 2: Convert to fraction form
    300.22/450.51 = 117.70/x
  3. Step 3: Cross multiply
    300.22x = 450.51 × 117.70
  4. Step 4: Simplify right side
    300.22x = 53,025.03
  5. Step 5: Solve for x
    x = 53,025.03/300.22
  6. Step 6: Final answer
    x = 176.62

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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.