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Finding the Fourth Proportional to 303.21, 418.50 and 216.14

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Solution

The fourth proportional to 303.21, 418.50 and 216.14 is: 298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.21 : 418.50 = 216.14 : x
  2. Step 2: Convert to fraction form
    303.21/418.50 = 216.14/x
  3. Step 3: Cross multiply
    303.21x = 418.50 × 216.14
  4. Step 4: Simplify right side
    303.21x = 90,452.50
  5. Step 5: Solve for x
    x = 90,452.50/303.21
  6. Step 6: Final answer
    x = 298.32

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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.