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Finding the Fourth Proportional to 304.14, 419.31 and 216.66

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Solution

The fourth proportional to 304.14, 419.31 and 216.66 is: 298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.14 : 419.31 = 216.66 : x
  2. Step 2: Convert to fraction form
    304.14/419.31 = 216.66/x
  3. Step 3: Cross multiply
    304.14x = 419.31 × 216.66
  4. Step 4: Simplify right side
    304.14x = 90,847.70
  5. Step 5: Solve for x
    x = 90,847.70/304.14
  6. Step 6: Final answer
    x = 298.70

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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.