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Finding the Fourth Proportional to 179.76, 271.27 and 173.33

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Solution

The fourth proportional to 179.76, 271.27 and 173.33 is: 261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.76 : 271.27 = 173.33 : x
  2. Step 2: Convert to fraction form
    179.76/271.27 = 173.33/x
  3. Step 3: Cross multiply
    179.76x = 271.27 × 173.33
  4. Step 4: Simplify right side
    179.76x = 47,018.13
  5. Step 5: Solve for x
    x = 47,018.13/179.76
  6. Step 6: Final answer
    x = 261.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.