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Finding the Fourth Proportional to 309.56, 463.94 and 172.67

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Solution

The fourth proportional to 309.56, 463.94 and 172.67 is: 258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 463.94 = 172.67 : x
  2. Step 2: Convert to fraction form
    309.56/463.94 = 172.67/x
  3. Step 3: Cross multiply
    309.56x = 463.94 × 172.67
  4. Step 4: Simplify right side
    309.56x = 80,108.52
  5. Step 5: Solve for x
    x = 80,108.52/309.56
  6. Step 6: Final answer
    x = 258.78

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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.