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Finding the Fourth Proportional to 173.28, 259.53 and 159.96

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Solution

The fourth proportional to 173.28, 259.53 and 159.96 is: 239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.28 : 259.53 = 159.96 : x
  2. Step 2: Convert to fraction form
    173.28/259.53 = 159.96/x
  3. Step 3: Cross multiply
    173.28x = 259.53 × 159.96
  4. Step 4: Simplify right side
    173.28x = 41,514.42
  5. Step 5: Solve for x
    x = 41,514.42/173.28
  6. Step 6: Final answer
    x = 239.58

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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.