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Finding the Fourth Proportional to 613.38, 920.07 and 157.38

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Solution

The fourth proportional to 613.38, 920.07 and 157.38 is: 236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.38 : 920.07 = 157.38 : x
  2. Step 2: Convert to fraction form
    613.38/920.07 = 157.38/x
  3. Step 3: Cross multiply
    613.38x = 920.07 × 157.38
  4. Step 4: Simplify right side
    613.38x = 144,795.23
  5. Step 5: Solve for x
    x = 144,795.23/613.38
  6. Step 6: Final answer
    x = 236.06

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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.