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Finding the Fourth Proportional to 264.14, 364.38 and 186.56

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Solution

The fourth proportional to 264.14, 364.38 and 186.56 is: 257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.14 : 364.38 = 186.56 : x
  2. Step 2: Convert to fraction form
    264.14/364.38 = 186.56/x
  3. Step 3: Cross multiply
    264.14x = 364.38 × 186.56
  4. Step 4: Simplify right side
    264.14x = 67,978.73
  5. Step 5: Solve for x
    x = 67,978.73/264.14
  6. Step 6: Final answer
    x = 257.36

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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.