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Finding the Fourth Proportional to 267.07, 367.67 and 230.02

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Solution

The fourth proportional to 267.07, 367.67 and 230.02 is: 316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.07 : 367.67 = 230.02 : x
  2. Step 2: Convert to fraction form
    267.07/367.67 = 230.02/x
  3. Step 3: Cross multiply
    267.07x = 367.67 × 230.02
  4. Step 4: Simplify right side
    267.07x = 84,571.45
  5. Step 5: Solve for x
    x = 84,571.45/267.07
  6. Step 6: Final answer
    x = 316.66

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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.