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Finding the Fourth Proportional to 183.96, 253.92 and 110.24

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Solution

The fourth proportional to 183.96, 253.92 and 110.24 is: 152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.96 : 253.92 = 110.24 : x
  2. Step 2: Convert to fraction form
    183.96/253.92 = 110.24/x
  3. Step 3: Cross multiply
    183.96x = 253.92 × 110.24
  4. Step 4: Simplify right side
    183.96x = 27,992.14
  5. Step 5: Solve for x
    x = 27,992.14/183.96
  6. Step 6: Final answer
    x = 152.16

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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.