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Finding the Fourth Proportional to 317.78, 438.29 and 199.65

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Solution

The fourth proportional to 317.78, 438.29 and 199.65 is: 275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.78 : 438.29 = 199.65 : x
  2. Step 2: Convert to fraction form
    317.78/438.29 = 199.65/x
  3. Step 3: Cross multiply
    317.78x = 438.29 × 199.65
  4. Step 4: Simplify right side
    317.78x = 87,504.60
  5. Step 5: Solve for x
    x = 87,504.60/317.78
  6. Step 6: Final answer
    x = 275.36

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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.