Home / 300.20-414.24-175.85

Finding the Fourth Proportional to 300.20, 414.24 and 175.85

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Solution

The fourth proportional to 300.20, 414.24 and 175.85 is: 242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.20 : 414.24 = 175.85 : x
  2. Step 2: Convert to fraction form
    300.20/414.24 = 175.85/x
  3. Step 3: Cross multiply
    300.20x = 414.24 × 175.85
  4. Step 4: Simplify right side
    300.20x = 72,842.03
  5. Step 5: Solve for x
    x = 72,842.03/300.20
  6. Step 6: Final answer
    x = 242.65

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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.