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Finding the Fourth Proportional to 202.67, 303.75 and 157.19

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Solution

The fourth proportional to 202.67, 303.75 and 157.19 is: 235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.67 : 303.75 = 157.19 : x
  2. Step 2: Convert to fraction form
    202.67/303.75 = 157.19/x
  3. Step 3: Cross multiply
    202.67x = 303.75 × 157.19
  4. Step 4: Simplify right side
    202.67x = 47,744.94
  5. Step 5: Solve for x
    x = 47,744.94/202.67
  6. Step 6: Final answer
    x = 235.59

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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.