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Finding the Fourth Proportional to 313.68, 470.66 and 169.22

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Solution

The fourth proportional to 313.68, 470.66 and 169.22 is: 253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.68 : 470.66 = 169.22 : x
  2. Step 2: Convert to fraction form
    313.68/470.66 = 169.22/x
  3. Step 3: Cross multiply
    313.68x = 470.66 × 169.22
  4. Step 4: Simplify right side
    313.68x = 79,645.09
  5. Step 5: Solve for x
    x = 79,645.09/313.68
  6. Step 6: Final answer
    x = 253.91

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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.