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Finding the Fourth Proportional to 310.10, 464.13 and 172.67

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Solution

The fourth proportional to 310.10, 464.13 and 172.67 is: 258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.10 : 464.13 = 172.67 : x
  2. Step 2: Convert to fraction form
    310.10/464.13 = 172.67/x
  3. Step 3: Cross multiply
    310.10x = 464.13 × 172.67
  4. Step 4: Simplify right side
    310.10x = 80,139.01
  5. Step 5: Solve for x
    x = 80,139.01/310.10
  6. Step 6: Final answer
    x = 258.43

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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.