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Finding the Fourth Proportional to 317.69, 475.70 and 154.97

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Solution

The fourth proportional to 317.69, 475.70 and 154.97 is: 232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.69 : 475.70 = 154.97 : x
  2. Step 2: Convert to fraction form
    317.69/475.70 = 154.97/x
  3. Step 3: Cross multiply
    317.69x = 475.70 × 154.97
  4. Step 4: Simplify right side
    317.69x = 73,716.08
  5. Step 5: Solve for x
    x = 73,716.08/317.69
  6. Step 6: Final answer
    x = 232.04

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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.