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Finding the Fourth Proportional to 151.40, 209.15 and 120.21

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Solution

The fourth proportional to 151.40, 209.15 and 120.21 is: 166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.40 : 209.15 = 120.21 : x
  2. Step 2: Convert to fraction form
    151.40/209.15 = 120.21/x
  3. Step 3: Cross multiply
    151.40x = 209.15 × 120.21
  4. Step 4: Simplify right side
    151.40x = 25,141.32
  5. Step 5: Solve for x
    x = 25,141.32/151.40
  6. Step 6: Final answer
    x = 166.06

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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.