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Finding the Fourth Proportional to 180.42, 270.67 and 87.87

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Solution

The fourth proportional to 180.42, 270.67 and 87.87 is: 131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.42 : 270.67 = 87.87 : x
  2. Step 2: Convert to fraction form
    180.42/270.67 = 87.87/x
  3. Step 3: Cross multiply
    180.42x = 270.67 × 87.87
  4. Step 4: Simplify right side
    180.42x = 23,783.77
  5. Step 5: Solve for x
    x = 23,783.77/180.42
  6. Step 6: Final answer
    x = 131.82

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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.