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Finding the Fourth Proportional to 183.64, 253.38 and 131.92

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Solution

The fourth proportional to 183.64, 253.38 and 131.92 is: 182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.64 : 253.38 = 131.92 : x
  2. Step 2: Convert to fraction form
    183.64/253.38 = 131.92/x
  3. Step 3: Cross multiply
    183.64x = 253.38 × 131.92
  4. Step 4: Simplify right side
    183.64x = 33,425.89
  5. Step 5: Solve for x
    x = 33,425.89/183.64
  6. Step 6: Final answer
    x = 182.02

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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.