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Finding the Fourth Proportional to 172.46, 259.87 and 142.68

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Solution

The fourth proportional to 172.46, 259.87 and 142.68 is: 215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.46 : 259.87 = 142.68 : x
  2. Step 2: Convert to fraction form
    172.46/259.87 = 142.68/x
  3. Step 3: Cross multiply
    172.46x = 259.87 × 142.68
  4. Step 4: Simplify right side
    172.46x = 37,078.25
  5. Step 5: Solve for x
    x = 37,078.25/172.46
  6. Step 6: Final answer
    x = 215.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.