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Finding the Fourth Proportional to 214.57, 319.65 and 204.25

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Solution

The fourth proportional to 214.57, 319.65 and 204.25 is: 304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.57 : 319.65 = 204.25 : x
  2. Step 2: Convert to fraction form
    214.57/319.65 = 204.25/x
  3. Step 3: Cross multiply
    214.57x = 319.65 × 204.25
  4. Step 4: Simplify right side
    214.57x = 65,286.91
  5. Step 5: Solve for x
    x = 65,286.91/214.57
  6. Step 6: Final answer
    x = 304.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.