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Finding the Fourth Proportional to 172.53, 259.30 and 159.80

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Solution

The fourth proportional to 172.53, 259.30 and 159.80 is: 240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.53 : 259.30 = 159.80 : x
  2. Step 2: Convert to fraction form
    172.53/259.30 = 159.80/x
  3. Step 3: Cross multiply
    172.53x = 259.30 × 159.80
  4. Step 4: Simplify right side
    172.53x = 41,435.04
  5. Step 5: Solve for x
    x = 41,435.04/172.53
  6. Step 6: Final answer
    x = 240.17

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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.