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Finding the Fourth Proportional to 318.65, 439.72 and 194.31

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Solution

The fourth proportional to 318.65, 439.72 and 194.31 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.65 : 439.72 = 194.31 : x
  2. Step 2: Convert to fraction form
    318.65/439.72 = 194.31/x
  3. Step 3: Cross multiply
    318.65x = 439.72 × 194.31
  4. Step 4: Simplify right side
    318.65x = 85,441.51
  5. Step 5: Solve for x
    x = 85,441.51/318.65
  6. Step 6: Final answer
    x = 268.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.