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Finding the Fourth Proportional to 177.57, 266.94 and 164.19

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Solution

The fourth proportional to 177.57, 266.94 and 164.19 is: 246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.57 : 266.94 = 164.19 : x
  2. Step 2: Convert to fraction form
    177.57/266.94 = 164.19/x
  3. Step 3: Cross multiply
    177.57x = 266.94 × 164.19
  4. Step 4: Simplify right side
    177.57x = 43,828.88
  5. Step 5: Solve for x
    x = 43,828.88/177.57
  6. Step 6: Final answer
    x = 246.83

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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.