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Finding the Fourth Proportional to 267.30, 400.61 and 206.30

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Solution

The fourth proportional to 267.30, 400.61 and 206.30 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.30 : 400.61 = 206.30 : x
  2. Step 2: Convert to fraction form
    267.30/400.61 = 206.30/x
  3. Step 3: Cross multiply
    267.30x = 400.61 × 206.30
  4. Step 4: Simplify right side
    267.30x = 82,646.77
  5. Step 5: Solve for x
    x = 82,646.77/267.30
  6. Step 6: Final answer
    x = 309.19

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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.