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Finding the Fourth Proportional to 177.26, 264.33 and 164.94

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Solution

The fourth proportional to 177.26, 264.33 and 164.94 is: 245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.26 : 264.33 = 164.94 : x
  2. Step 2: Convert to fraction form
    177.26/264.33 = 164.94/x
  3. Step 3: Cross multiply
    177.26x = 264.33 × 164.94
  4. Step 4: Simplify right side
    177.26x = 43,597.95
  5. Step 5: Solve for x
    x = 43,597.95/177.26
  6. Step 6: Final answer
    x = 245.95

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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.