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Finding the Fourth Proportional to 267.84, 401.28 and 214.08

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Solution

The fourth proportional to 267.84, 401.28 and 214.08 is: 320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.84 : 401.28 = 214.08 : x
  2. Step 2: Convert to fraction form
    267.84/401.28 = 214.08/x
  3. Step 3: Cross multiply
    267.84x = 401.28 × 214.08
  4. Step 4: Simplify right side
    267.84x = 85,906.02
  5. Step 5: Solve for x
    x = 85,906.02/267.84
  6. Step 6: Final answer
    x = 320.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.