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Finding the Fourth Proportional to 297.72, 410.58 and 199.31

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Solution

The fourth proportional to 297.72, 410.58 and 199.31 is: 274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 410.58 = 199.31 : x
  2. Step 2: Convert to fraction form
    297.72/410.58 = 199.31/x
  3. Step 3: Cross multiply
    297.72x = 410.58 × 199.31
  4. Step 4: Simplify right side
    297.72x = 81,830.65
  5. Step 5: Solve for x
    x = 81,830.65/297.72
  6. Step 6: Final answer
    x = 274.86

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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.