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Finding the Fourth Proportional to 293.72, 439.72 and 211.88

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Solution

The fourth proportional to 293.72, 439.72 and 211.88 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.72 : 439.72 = 211.88 : x
  2. Step 2: Convert to fraction form
    293.72/439.72 = 211.88/x
  3. Step 3: Cross multiply
    293.72x = 439.72 × 211.88
  4. Step 4: Simplify right side
    293.72x = 93,167.87
  5. Step 5: Solve for x
    x = 93,167.87/293.72
  6. Step 6: Final answer
    x = 317.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.