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Finding the Fourth Proportional to 169.36, 254.04 and 96.19

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Solution

The fourth proportional to 169.36, 254.04 and 96.19 is: 144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.36 : 254.04 = 96.19 : x
  2. Step 2: Convert to fraction form
    169.36/254.04 = 96.19/x
  3. Step 3: Cross multiply
    169.36x = 254.04 × 96.19
  4. Step 4: Simplify right side
    169.36x = 24,434.84
  5. Step 5: Solve for x
    x = 24,434.84/169.36
  6. Step 6: Final answer
    x = 144.28

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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.