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Finding the Fourth Proportional to 177.09, 264.25 and 159.68

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Solution

The fourth proportional to 177.09, 264.25 and 159.68 is: 238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.09 : 264.25 = 159.68 : x
  2. Step 2: Convert to fraction form
    177.09/264.25 = 159.68/x
  3. Step 3: Cross multiply
    177.09x = 264.25 × 159.68
  4. Step 4: Simplify right side
    177.09x = 42,195.44
  5. Step 5: Solve for x
    x = 42,195.44/177.09
  6. Step 6: Final answer
    x = 238.27

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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.