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Finding the Fourth Proportional to 180.83, 249.53 and 109.98

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Solution

The fourth proportional to 180.83, 249.53 and 109.98 is: 151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 249.53 = 109.98 : x
  2. Step 2: Convert to fraction form
    180.83/249.53 = 109.98/x
  3. Step 3: Cross multiply
    180.83x = 249.53 × 109.98
  4. Step 4: Simplify right side
    180.83x = 27,442.76
  5. Step 5: Solve for x
    x = 27,442.76/180.83
  6. Step 6: Final answer
    x = 151.76

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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.