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Finding the Fourth Proportional to 183.91, 253.78 and 110.24

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Solution

The fourth proportional to 183.91, 253.78 and 110.24 is: 152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.91 : 253.78 = 110.24 : x
  2. Step 2: Convert to fraction form
    183.91/253.78 = 110.24/x
  3. Step 3: Cross multiply
    183.91x = 253.78 × 110.24
  4. Step 4: Simplify right side
    183.91x = 27,976.16
  5. Step 5: Solve for x
    x = 27,976.16/183.91
  6. Step 6: Final answer
    x = 152.12

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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.