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Finding the Fourth Proportional to 508.67, 762.94 and 161.93

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Solution

The fourth proportional to 508.67, 762.94 and 161.93 is: 242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.67 : 762.94 = 161.93 : x
  2. Step 2: Convert to fraction form
    508.67/762.94 = 161.93/x
  3. Step 3: Cross multiply
    508.67x = 762.94 × 161.93
  4. Step 4: Simplify right side
    508.67x = 123,542.87
  5. Step 5: Solve for x
    x = 123,542.87/508.67
  6. Step 6: Final answer
    x = 242.87

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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.