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Finding the Fourth Proportional to 180.91, 249.65 and 106.21

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Solution

The fourth proportional to 180.91, 249.65 and 106.21 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.91 : 249.65 = 106.21 : x
  2. Step 2: Convert to fraction form
    180.91/249.65 = 106.21/x
  3. Step 3: Cross multiply
    180.91x = 249.65 × 106.21
  4. Step 4: Simplify right side
    180.91x = 26,515.11
  5. Step 5: Solve for x
    x = 26,515.11/180.91
  6. Step 6: Final answer
    x = 146.57

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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.