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Finding the Fourth Proportional to 177.28, 265.56 and 164.64

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Solution

The fourth proportional to 177.28, 265.56 and 164.64 is: 246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.28 : 265.56 = 164.64 : x
  2. Step 2: Convert to fraction form
    177.28/265.56 = 164.64/x
  3. Step 3: Cross multiply
    177.28x = 265.56 × 164.64
  4. Step 4: Simplify right side
    177.28x = 43,721.80
  5. Step 5: Solve for x
    x = 43,721.80/177.28
  6. Step 6: Final answer
    x = 246.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.