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Finding the Fourth Proportional to 169.93, 255.30 and 97.84

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Solution

The fourth proportional to 169.93, 255.30 and 97.84 is: 146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.93 : 255.30 = 97.84 : x
  2. Step 2: Convert to fraction form
    169.93/255.30 = 97.84/x
  3. Step 3: Cross multiply
    169.93x = 255.30 × 97.84
  4. Step 4: Simplify right side
    169.93x = 24,978.55
  5. Step 5: Solve for x
    x = 24,978.55/169.93
  6. Step 6: Final answer
    x = 146.99

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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.