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Finding the Fourth Proportional to 149.34, 223.05 and 121.98

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Solution

The fourth proportional to 149.34, 223.05 and 121.98 is: 182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.34 : 223.05 = 121.98 : x
  2. Step 2: Convert to fraction form
    149.34/223.05 = 121.98/x
  3. Step 3: Cross multiply
    149.34x = 223.05 × 121.98
  4. Step 4: Simplify right side
    149.34x = 27,207.64
  5. Step 5: Solve for x
    x = 27,207.64/149.34
  6. Step 6: Final answer
    x = 182.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.