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Finding the Fourth Proportional to 151.34, 208.73 and 120.21

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Solution

The fourth proportional to 151.34, 208.73 and 120.21 is: 165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.34 : 208.73 = 120.21 : x
  2. Step 2: Convert to fraction form
    151.34/208.73 = 120.21/x
  3. Step 3: Cross multiply
    151.34x = 208.73 × 120.21
  4. Step 4: Simplify right side
    151.34x = 25,090.83
  5. Step 5: Solve for x
    x = 25,090.83/151.34
  6. Step 6: Final answer
    x = 165.79

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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.