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Finding the Fourth Proportional to 450.68, 675.66 and 194.04

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Solution

The fourth proportional to 450.68, 675.66 and 194.04 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.68 : 675.66 = 194.04 : x
  2. Step 2: Convert to fraction form
    450.68/675.66 = 194.04/x
  3. Step 3: Cross multiply
    450.68x = 675.66 × 194.04
  4. Step 4: Simplify right side
    450.68x = 131,105.07
  5. Step 5: Solve for x
    x = 131,105.07/450.68
  6. Step 6: Final answer
    x = 290.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.