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Finding the Fourth Proportional to 214.38, 319.38 and 204.06

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Solution

The fourth proportional to 214.38, 319.38 and 204.06 is: 304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.38 : 319.38 = 204.06 : x
  2. Step 2: Convert to fraction form
    214.38/319.38 = 204.06/x
  3. Step 3: Cross multiply
    214.38x = 319.38 × 204.06
  4. Step 4: Simplify right side
    214.38x = 65,172.68
  5. Step 5: Solve for x
    x = 65,172.68/214.38
  6. Step 6: Final answer
    x = 304.01

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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.