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Finding the Fourth Proportional to 309.54, 464.46 and 172.53

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Solution

The fourth proportional to 309.54, 464.46 and 172.53 is: 258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.54 : 464.46 = 172.53 : x
  2. Step 2: Convert to fraction form
    309.54/464.46 = 172.53/x
  3. Step 3: Cross multiply
    309.54x = 464.46 × 172.53
  4. Step 4: Simplify right side
    309.54x = 80,133.28
  5. Step 5: Solve for x
    x = 80,133.28/309.54
  6. Step 6: Final answer
    x = 258.88

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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.