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Finding the Fourth Proportional to 179.79, 269.10 and 173.43

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Solution

The fourth proportional to 179.79, 269.10 and 173.43 is: 259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.79 : 269.10 = 173.43 : x
  2. Step 2: Convert to fraction form
    179.79/269.10 = 173.43/x
  3. Step 3: Cross multiply
    179.79x = 269.10 × 173.43
  4. Step 4: Simplify right side
    179.79x = 46,670.01
  5. Step 5: Solve for x
    x = 46,670.01/179.79
  6. Step 6: Final answer
    x = 259.58

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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.