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Finding the Fourth Proportional to 300.10, 414.16 and 167.32

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Solution

The fourth proportional to 300.10, 414.16 and 167.32 is: 230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.10 : 414.16 = 167.32 : x
  2. Step 2: Convert to fraction form
    300.10/414.16 = 167.32/x
  3. Step 3: Cross multiply
    300.10x = 414.16 × 167.32
  4. Step 4: Simplify right side
    300.10x = 69,297.25
  5. Step 5: Solve for x
    x = 69,297.25/300.10
  6. Step 6: Final answer
    x = 230.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.