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Finding the Fourth Proportional to 267.24, 369.06 and 230.19

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Solution

The fourth proportional to 267.24, 369.06 and 230.19 is: 317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.24 : 369.06 = 230.19 : x
  2. Step 2: Convert to fraction form
    267.24/369.06 = 230.19/x
  3. Step 3: Cross multiply
    267.24x = 369.06 × 230.19
  4. Step 4: Simplify right side
    267.24x = 84,953.92
  5. Step 5: Solve for x
    x = 84,953.92/267.24
  6. Step 6: Final answer
    x = 317.89

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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.