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Finding the Fourth Proportional to 465.73, 698.60 and 119.06

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Solution

The fourth proportional to 465.73, 698.60 and 119.06 is: 178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.73 : 698.60 = 119.06 : x
  2. Step 2: Convert to fraction form
    465.73/698.60 = 119.06/x
  3. Step 3: Cross multiply
    465.73x = 698.60 × 119.06
  4. Step 4: Simplify right side
    465.73x = 83,174.74
  5. Step 5: Solve for x
    x = 83,174.74/465.73
  6. Step 6: Final answer
    x = 178.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.