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Finding the Fourth Proportional to 303.30, 418.71 and 214.80

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Solution

The fourth proportional to 303.30, 418.71 and 214.80 is: 296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.30 : 418.71 = 214.80 : x
  2. Step 2: Convert to fraction form
    303.30/418.71 = 214.80/x
  3. Step 3: Cross multiply
    303.30x = 418.71 × 214.80
  4. Step 4: Simplify right side
    303.30x = 89,938.91
  5. Step 5: Solve for x
    x = 89,938.91/303.30
  6. Step 6: Final answer
    x = 296.53

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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.