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Finding the Fourth Proportional to 149.31, 224.10 and 118.80

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Solution

The fourth proportional to 149.31, 224.10 and 118.80 is: 178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.31 : 224.10 = 118.80 : x
  2. Step 2: Convert to fraction form
    149.31/224.10 = 118.80/x
  3. Step 3: Cross multiply
    149.31x = 224.10 × 118.80
  4. Step 4: Simplify right side
    149.31x = 26,623.08
  5. Step 5: Solve for x
    x = 26,623.08/149.31
  6. Step 6: Final answer
    x = 178.31

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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.