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Finding the Fourth Proportional to 149.24, 224.44 and 118.46

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Solution

The fourth proportional to 149.24, 224.44 and 118.46 is: 178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.24 : 224.44 = 118.46 : x
  2. Step 2: Convert to fraction form
    149.24/224.44 = 118.46/x
  3. Step 3: Cross multiply
    149.24x = 224.44 × 118.46
  4. Step 4: Simplify right side
    149.24x = 26,587.43
  5. Step 5: Solve for x
    x = 26,587.43/149.24
  6. Step 6: Final answer
    x = 178.15

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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.