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Finding the Fourth Proportional to 193.88, 265.55 and 184.64

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Solution

The fourth proportional to 193.88, 265.55 and 184.64 is: 252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.88 : 265.55 = 184.64 : x
  2. Step 2: Convert to fraction form
    193.88/265.55 = 184.64/x
  3. Step 3: Cross multiply
    193.88x = 265.55 × 184.64
  4. Step 4: Simplify right side
    193.88x = 49,028.90
  5. Step 5: Solve for x
    x = 49,028.90/193.88
  6. Step 6: Final answer
    x = 252.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.