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Finding the Fourth Proportional to 381.51, 571.85 and 162.09

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Solution

The fourth proportional to 381.51, 571.85 and 162.09 is: 242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.51 : 571.85 = 162.09 : x
  2. Step 2: Convert to fraction form
    381.51/571.85 = 162.09/x
  3. Step 3: Cross multiply
    381.51x = 571.85 × 162.09
  4. Step 4: Simplify right side
    381.51x = 92,688.31
  5. Step 5: Solve for x
    x = 92,688.31/381.51
  6. Step 6: Final answer
    x = 242.95

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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.