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Finding the Fourth Proportional to 450.06, 675.09 and 190.07

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Solution

The fourth proportional to 450.06, 675.09 and 190.07 is: 285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.06 : 675.09 = 190.07 : x
  2. Step 2: Convert to fraction form
    450.06/675.09 = 190.07/x
  3. Step 3: Cross multiply
    450.06x = 675.09 × 190.07
  4. Step 4: Simplify right side
    450.06x = 128,310.98
  5. Step 5: Solve for x
    x = 128,310.98/450.06
  6. Step 6: Final answer
    x = 285.10

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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.