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Finding the Fourth Proportional to 183.89, 253.80 and 105.24

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Solution

The fourth proportional to 183.89, 253.80 and 105.24 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.89 : 253.80 = 105.24 : x
  2. Step 2: Convert to fraction form
    183.89/253.80 = 105.24/x
  3. Step 3: Cross multiply
    183.89x = 253.80 × 105.24
  4. Step 4: Simplify right side
    183.89x = 26,709.91
  5. Step 5: Solve for x
    x = 26,709.91/183.89
  6. Step 6: Final answer
    x = 145.25

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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.