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Finding the Fourth Proportional to 267.10, 399.68 and 190.14

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Solution

The fourth proportional to 267.10, 399.68 and 190.14 is: 284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.10 : 399.68 = 190.14 : x
  2. Step 2: Convert to fraction form
    267.10/399.68 = 190.14/x
  3. Step 3: Cross multiply
    267.10x = 399.68 × 190.14
  4. Step 4: Simplify right side
    267.10x = 75,995.16
  5. Step 5: Solve for x
    x = 75,995.16/267.10
  6. Step 6: Final answer
    x = 284.52

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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.