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Finding the Fourth Proportional to 183.24, 253.26 and 144.36

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Solution

The fourth proportional to 183.24, 253.26 and 144.36 is: 199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.24 : 253.26 = 144.36 : x
  2. Step 2: Convert to fraction form
    183.24/253.26 = 144.36/x
  3. Step 3: Cross multiply
    183.24x = 253.26 × 144.36
  4. Step 4: Simplify right side
    183.24x = 36,560.61
  5. Step 5: Solve for x
    x = 36,560.61/183.24
  6. Step 6: Final answer
    x = 199.52

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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.