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Finding the Fourth Proportional to 151.74, 209.23 and 120.30

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Solution

The fourth proportional to 151.74, 209.23 and 120.30 is: 165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.74 : 209.23 = 120.30 : x
  2. Step 2: Convert to fraction form
    151.74/209.23 = 120.30/x
  3. Step 3: Cross multiply
    151.74x = 209.23 × 120.30
  4. Step 4: Simplify right side
    151.74x = 25,171.14
  5. Step 5: Solve for x
    x = 25,171.14/151.74
  6. Step 6: Final answer
    x = 165.88

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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.