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Finding the Fourth Proportional to 214.08, 319.92 and 205.44

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Solution

The fourth proportional to 214.08, 319.92 and 205.44 is: 307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.08 : 319.92 = 205.44 : x
  2. Step 2: Convert to fraction form
    214.08/319.92 = 205.44/x
  3. Step 3: Cross multiply
    214.08x = 319.92 × 205.44
  4. Step 4: Simplify right side
    214.08x = 65,724.36
  5. Step 5: Solve for x
    x = 65,724.36/214.08
  6. Step 6: Final answer
    x = 307.01

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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.