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Finding the Fourth Proportional to 316.72, 436.92 and 200.24

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Solution

The fourth proportional to 316.72, 436.92 and 200.24 is: 276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.72 : 436.92 = 200.24 : x
  2. Step 2: Convert to fraction form
    316.72/436.92 = 200.24/x
  3. Step 3: Cross multiply
    316.72x = 436.92 × 200.24
  4. Step 4: Simplify right side
    316.72x = 87,488.86
  5. Step 5: Solve for x
    x = 87,488.86/316.72
  6. Step 6: Final answer
    x = 276.23

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