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Finding the Fourth Proportional to 168.01, 232.47 and 146.14

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Solution

The fourth proportional to 168.01, 232.47 and 146.14 is: 202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.01 : 232.47 = 146.14 : x
  2. Step 2: Convert to fraction form
    168.01/232.47 = 146.14/x
  3. Step 3: Cross multiply
    168.01x = 232.47 × 146.14
  4. Step 4: Simplify right side
    168.01x = 33,973.17
  5. Step 5: Solve for x
    x = 33,973.17/168.01
  6. Step 6: Final answer
    x = 202.21

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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.