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Finding the Fourth Proportional to 267.83, 369.23 and 193.17

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Solution

The fourth proportional to 267.83, 369.23 and 193.17 is: 266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.83 : 369.23 = 193.17 : x
  2. Step 2: Convert to fraction form
    267.83/369.23 = 193.17/x
  3. Step 3: Cross multiply
    267.83x = 369.23 × 193.17
  4. Step 4: Simplify right side
    267.83x = 71,323.19
  5. Step 5: Solve for x
    x = 71,323.19/267.83
  6. Step 6: Final answer
    x = 266.31

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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.