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Finding the Fourth Proportional to 177.31, 264.65 and 169.41

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Solution

The fourth proportional to 177.31, 264.65 and 169.41 is: 252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.31 : 264.65 = 169.41 : x
  2. Step 2: Convert to fraction form
    177.31/264.65 = 169.41/x
  3. Step 3: Cross multiply
    177.31x = 264.65 × 169.41
  4. Step 4: Simplify right side
    177.31x = 44,834.36
  5. Step 5: Solve for x
    x = 44,834.36/177.31
  6. Step 6: Final answer
    x = 252.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.