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Finding the Fourth Proportional to 317.82, 438.40 and 199.96

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Solution

The fourth proportional to 317.82, 438.40 and 199.96 is: 275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.82 : 438.40 = 199.96 : x
  2. Step 2: Convert to fraction form
    317.82/438.40 = 199.96/x
  3. Step 3: Cross multiply
    317.82x = 438.40 × 199.96
  4. Step 4: Simplify right side
    317.82x = 87,662.46
  5. Step 5: Solve for x
    x = 87,662.46/317.82
  6. Step 6: Final answer
    x = 275.82

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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.