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Finding the Fourth Proportional to 267.33, 366.24 and 257.61

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Solution

The fourth proportional to 267.33, 366.24 and 257.61 is: 352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.33 : 366.24 = 257.61 : x
  2. Step 2: Convert to fraction form
    267.33/366.24 = 257.61/x
  3. Step 3: Cross multiply
    267.33x = 366.24 × 257.61
  4. Step 4: Simplify right side
    267.33x = 94,347.09
  5. Step 5: Solve for x
    x = 94,347.09/267.33
  6. Step 6: Final answer
    x = 352.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.