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Finding the Fourth Proportional to 450.07, 675 and 189.97

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Solution

The fourth proportional to 450.07, 675 and 189.97 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.07 : 675 = 189.97 : x
  2. Step 2: Convert to fraction form
    450.07/675 = 189.97/x
  3. Step 3: Cross multiply
    450.07x = 675 × 189.97
  4. Step 4: Simplify right side
    450.07x = 128,228.06
  5. Step 5: Solve for x
    x = 128,228.06/450.07
  6. Step 6: Final answer
    x = 284.91

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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.