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Finding the Fourth Proportional to 313.89, 470.66 and 167.28

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Solution

The fourth proportional to 313.89, 470.66 and 167.28 is: 250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.89 : 470.66 = 167.28 : x
  2. Step 2: Convert to fraction form
    313.89/470.66 = 167.28/x
  3. Step 3: Cross multiply
    313.89x = 470.66 × 167.28
  4. Step 4: Simplify right side
    313.89x = 78,731.17
  5. Step 5: Solve for x
    x = 78,731.17/313.89
  6. Step 6: Final answer
    x = 250.82

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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.