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Finding the Fourth Proportional to 149.26, 223.82 and 120.30

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Solution

The fourth proportional to 149.26, 223.82 and 120.30 is: 180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.26 : 223.82 = 120.30 : x
  2. Step 2: Convert to fraction form
    149.26/223.82 = 120.30/x
  3. Step 3: Cross multiply
    149.26x = 223.82 × 120.30
  4. Step 4: Simplify right side
    149.26x = 26,925.55
  5. Step 5: Solve for x
    x = 26,925.55/149.26
  6. Step 6: Final answer
    x = 180.39

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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.