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Finding the Fourth Proportional to 149.36, 223.64 and 120.31

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Solution

The fourth proportional to 149.36, 223.64 and 120.31 is: 180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.36 : 223.64 = 120.31 : x
  2. Step 2: Convert to fraction form
    149.36/223.64 = 120.31/x
  3. Step 3: Cross multiply
    149.36x = 223.64 × 120.31
  4. Step 4: Simplify right side
    149.36x = 26,904.97
  5. Step 5: Solve for x
    x = 26,904.97/149.36
  6. Step 6: Final answer
    x = 180.14

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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.