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Finding the Fourth Proportional to 173.55, 239.30 and 144.08

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Solution

The fourth proportional to 173.55, 239.30 and 144.08 is: 198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.55 : 239.30 = 144.08 : x
  2. Step 2: Convert to fraction form
    173.55/239.30 = 144.08/x
  3. Step 3: Cross multiply
    173.55x = 239.30 × 144.08
  4. Step 4: Simplify right side
    173.55x = 34,476.43
  5. Step 5: Solve for x
    x = 34,476.43/173.55
  6. Step 6: Final answer
    x = 198.65

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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.