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Finding the Fourth Proportional to 950.22, 1,425.30 and 237.84

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Solution

The fourth proportional to 950.22, 1,425.30 and 237.84 is: 356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.22 : 1,425.30 = 237.84 : x
  2. Step 2: Convert to fraction form
    950.22/1,425.30 = 237.84/x
  3. Step 3: Cross multiply
    950.22x = 1,425.30 × 237.84
  4. Step 4: Simplify right side
    950.22x = 338,993.35
  5. Step 5: Solve for x
    x = 338,993.35/950.22
  6. Step 6: Final answer
    x = 356.75

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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.