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Finding the Fourth Proportional to 482.11, 723.27 and 157.48

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Solution

The fourth proportional to 482.11, 723.27 and 157.48 is: 236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.11 : 723.27 = 157.48 : x
  2. Step 2: Convert to fraction form
    482.11/723.27 = 157.48/x
  3. Step 3: Cross multiply
    482.11x = 723.27 × 157.48
  4. Step 4: Simplify right side
    482.11x = 113,896.94
  5. Step 5: Solve for x
    x = 113,896.94/482.11
  6. Step 6: Final answer
    x = 236.25

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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.