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Finding the Fourth Proportional to 267.83, 369.13 and 230.21

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Solution

The fourth proportional to 267.83, 369.13 and 230.21 is: 317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.83 : 369.13 = 230.21 : x
  2. Step 2: Convert to fraction form
    267.83/369.13 = 230.21/x
  3. Step 3: Cross multiply
    267.83x = 369.13 × 230.21
  4. Step 4: Simplify right side
    267.83x = 84,977.42
  5. Step 5: Solve for x
    x = 84,977.42/267.83
  6. Step 6: Final answer
    x = 317.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.