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Finding the Fourth Proportional to 264.09, 364.02 and 170.80

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Solution

The fourth proportional to 264.09, 364.02 and 170.80 is: 235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.09 : 364.02 = 170.80 : x
  2. Step 2: Convert to fraction form
    264.09/364.02 = 170.80/x
  3. Step 3: Cross multiply
    264.09x = 364.02 × 170.80
  4. Step 4: Simplify right side
    264.09x = 62,174.62
  5. Step 5: Solve for x
    x = 62,174.62/264.09
  6. Step 6: Final answer
    x = 235.43

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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.