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Finding the Fourth Proportional to 259.67, 388.80 and 173.14

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Solution

The fourth proportional to 259.67, 388.80 and 173.14 is: 259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.67 : 388.80 = 173.14 : x
  2. Step 2: Convert to fraction form
    259.67/388.80 = 173.14/x
  3. Step 3: Cross multiply
    259.67x = 388.80 × 173.14
  4. Step 4: Simplify right side
    259.67x = 67,315.86
  5. Step 5: Solve for x
    x = 67,315.86/259.67
  6. Step 6: Final answer
    x = 259.23

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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.