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Finding the Fourth Proportional to 264, 364.23 and 159.09

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Solution

The fourth proportional to 264, 364.23 and 159.09 is: 219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264 : 364.23 = 159.09 : x
  2. Step 2: Convert to fraction form
    264/364.23 = 159.09/x
  3. Step 3: Cross multiply
    264x = 364.23 × 159.09
  4. Step 4: Simplify right side
    264x = 57,945.35
  5. Step 5: Solve for x
    x = 57,945.35/264
  6. Step 6: Final answer
    x = 219.49

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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.