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Finding the Fourth Proportional to 168.42, 251.24 and 148.98

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Solution

The fourth proportional to 168.42, 251.24 and 148.98 is: 222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.42 : 251.24 = 148.98 : x
  2. Step 2: Convert to fraction form
    168.42/251.24 = 148.98/x
  3. Step 3: Cross multiply
    168.42x = 251.24 × 148.98
  4. Step 4: Simplify right side
    168.42x = 37,428.99
  5. Step 5: Solve for x
    x = 37,428.99/168.42
  6. Step 6: Final answer
    x = 222.24

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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.