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Finding the Fourth Proportional to 172.89, 259.32 and 140.76

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Solution

The fourth proportional to 172.89, 259.32 and 140.76 is: 211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.89 : 259.32 = 140.76 : x
  2. Step 2: Convert to fraction form
    172.89/259.32 = 140.76/x
  3. Step 3: Cross multiply
    172.89x = 259.32 × 140.76
  4. Step 4: Simplify right side
    172.89x = 36,501.88
  5. Step 5: Solve for x
    x = 36,501.88/172.89
  6. Step 6: Final answer
    x = 211.13

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Why These Related Problems?

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