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Finding the Fourth Proportional to 450.39, 675.38 and 157.89

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Solution

The fourth proportional to 450.39, 675.38 and 157.89 is: 236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.39 : 675.38 = 157.89 : x
  2. Step 2: Convert to fraction form
    450.39/675.38 = 157.89/x
  3. Step 3: Cross multiply
    450.39x = 675.38 × 157.89
  4. Step 4: Simplify right side
    450.39x = 106,634.96
  5. Step 5: Solve for x
    x = 106,634.96/450.39
  6. Step 6: Final answer
    x = 236.76

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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.