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Finding the Fourth Proportional to 179.88, 269.81 and 174.81

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Solution

The fourth proportional to 179.88, 269.81 and 174.81 is: 262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.88 : 269.81 = 174.81 : x
  2. Step 2: Convert to fraction form
    179.88/269.81 = 174.81/x
  3. Step 3: Cross multiply
    179.88x = 269.81 × 174.81
  4. Step 4: Simplify right side
    179.88x = 47,165.49
  5. Step 5: Solve for x
    x = 47,165.49/179.88
  6. Step 6: Final answer
    x = 262.21

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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.