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Finding the Fourth Proportional to 169.44, 254.08 and 123.64

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Solution

The fourth proportional to 169.44, 254.08 and 123.64 is: 185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.44 : 254.08 = 123.64 : x
  2. Step 2: Convert to fraction form
    169.44/254.08 = 123.64/x
  3. Step 3: Cross multiply
    169.44x = 254.08 × 123.64
  4. Step 4: Simplify right side
    169.44x = 31,414.45
  5. Step 5: Solve for x
    x = 31,414.45/169.44
  6. Step 6: Final answer
    x = 185.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.