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Finding the Fourth Proportional to 267.59, 400.35 and 209.18

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Solution

The fourth proportional to 267.59, 400.35 and 209.18 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.59 : 400.35 = 209.18 : x
  2. Step 2: Convert to fraction form
    267.59/400.35 = 209.18/x
  3. Step 3: Cross multiply
    267.59x = 400.35 × 209.18
  4. Step 4: Simplify right side
    267.59x = 83,745.21
  5. Step 5: Solve for x
    x = 83,745.21/267.59
  6. Step 6: Final answer
    x = 312.96

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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.