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Finding the Fourth Proportional to 330.96, 496.56 and 209.18

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Solution

The fourth proportional to 330.96, 496.56 and 209.18 is: 313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 496.56 = 209.18 : x
  2. Step 2: Convert to fraction form
    330.96/496.56 = 209.18/x
  3. Step 3: Cross multiply
    330.96x = 496.56 × 209.18
  4. Step 4: Simplify right side
    330.96x = 103,870.42
  5. Step 5: Solve for x
    x = 103,870.42/330.96
  6. Step 6: Final answer
    x = 313.85

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Why These Related Problems?

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