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Finding the Fourth Proportional to 180.56, 249.14 and 130.85

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Solution

The fourth proportional to 180.56, 249.14 and 130.85 is: 180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.56 : 249.14 = 130.85 : x
  2. Step 2: Convert to fraction form
    180.56/249.14 = 130.85/x
  3. Step 3: Cross multiply
    180.56x = 249.14 × 130.85
  4. Step 4: Simplify right side
    180.56x = 32,598.07
  5. Step 5: Solve for x
    x = 32,598.07/180.56
  6. Step 6: Final answer
    x = 180.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.