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Finding the Fourth Proportional to 267.09, 368.24 and 168.86

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Solution

The fourth proportional to 267.09, 368.24 and 168.86 is: 232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.09 : 368.24 = 168.86 : x
  2. Step 2: Convert to fraction form
    267.09/368.24 = 168.86/x
  3. Step 3: Cross multiply
    267.09x = 368.24 × 168.86
  4. Step 4: Simplify right side
    267.09x = 62,178.32
  5. Step 5: Solve for x
    x = 62,178.32/267.09
  6. Step 6: Final answer
    x = 232.80

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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.