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Finding the Fourth Proportional to 465.69, 698.81 and 173.14

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Solution

The fourth proportional to 465.69, 698.81 and 173.14 is: 259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.69 : 698.81 = 173.14 : x
  2. Step 2: Convert to fraction form
    465.69/698.81 = 173.14/x
  3. Step 3: Cross multiply
    465.69x = 698.81 × 173.14
  4. Step 4: Simplify right side
    465.69x = 120,989.35
  5. Step 5: Solve for x
    x = 120,989.35/465.69
  6. Step 6: Final answer
    x = 259.81

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