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Finding the Fourth Proportional to 149.19, 222.24 and 144.65

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Solution

The fourth proportional to 149.19, 222.24 and 144.65 is: 215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.19 : 222.24 = 144.65 : x
  2. Step 2: Convert to fraction form
    149.19/222.24 = 144.65/x
  3. Step 3: Cross multiply
    149.19x = 222.24 × 144.65
  4. Step 4: Simplify right side
    149.19x = 32,148.43
  5. Step 5: Solve for x
    x = 32,148.43/149.19
  6. Step 6: Final answer
    x = 215.49

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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.