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Finding the Fourth Proportional to 183.42, 253.31 and 171.81

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Solution

The fourth proportional to 183.42, 253.31 and 171.81 is: 237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.42 : 253.31 = 171.81 : x
  2. Step 2: Convert to fraction form
    183.42/253.31 = 171.81/x
  3. Step 3: Cross multiply
    183.42x = 253.31 × 171.81
  4. Step 4: Simplify right side
    183.42x = 43,520.33
  5. Step 5: Solve for x
    x = 43,520.33/183.42
  6. Step 6: Final answer
    x = 237.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.