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Finding the Fourth Proportional to 173.42, 259.86 and 144.26

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Solution

The fourth proportional to 173.42, 259.86 and 144.26 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.42 : 259.86 = 144.26 : x
  2. Step 2: Convert to fraction form
    173.42/259.86 = 144.26/x
  3. Step 3: Cross multiply
    173.42x = 259.86 × 144.26
  4. Step 4: Simplify right side
    173.42x = 37,487.40
  5. Step 5: Solve for x
    x = 37,487.40/173.42
  6. Step 6: Final answer
    x = 216.17

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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.