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Finding the Fourth Proportional to 168.70, 232.24 and 145.70

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Solution

The fourth proportional to 168.70, 232.24 and 145.70 is: 200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.70 : 232.24 = 145.70 : x
  2. Step 2: Convert to fraction form
    168.70/232.24 = 145.70/x
  3. Step 3: Cross multiply
    168.70x = 232.24 × 145.70
  4. Step 4: Simplify right side
    168.70x = 33,837.37
  5. Step 5: Solve for x
    x = 33,837.37/168.70
  6. Step 6: Final answer
    x = 200.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.