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Finding the Fourth Proportional to 183.54, 253.04 and 165.32

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Solution

The fourth proportional to 183.54, 253.04 and 165.32 is: 227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.54 : 253.04 = 165.32 : x
  2. Step 2: Convert to fraction form
    183.54/253.04 = 165.32/x
  3. Step 3: Cross multiply
    183.54x = 253.04 × 165.32
  4. Step 4: Simplify right side
    183.54x = 41,832.57
  5. Step 5: Solve for x
    x = 41,832.57/183.54
  6. Step 6: Final answer
    x = 227.92

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Why These Related Problems?

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