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Finding the Fourth Proportional to 180.75, 271.14 and 50.76

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Solution

The fourth proportional to 180.75, 271.14 and 50.76 is: 76.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 271.14 = 50.76 : x
  2. Step 2: Convert to fraction form
    180.75/271.14 = 50.76/x
  3. Step 3: Cross multiply
    180.75x = 271.14 × 50.76
  4. Step 4: Simplify right side
    180.75x = 13,764.51
  5. Step 5: Solve for x
    x = 13,764.51/180.75
  6. Step 6: Final answer
    x = 76.15

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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.