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Finding the Fourth Proportional to 177.73, 267.84 and 164.50

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Solution

The fourth proportional to 177.73, 267.84 and 164.50 is: 247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.73 : 267.84 = 164.50 : x
  2. Step 2: Convert to fraction form
    177.73/267.84 = 164.50/x
  3. Step 3: Cross multiply
    177.73x = 267.84 × 164.50
  4. Step 4: Simplify right side
    177.73x = 44,058.86
  5. Step 5: Solve for x
    x = 44,058.86/177.73
  6. Step 6: Final answer
    x = 247.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.