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Finding the Fourth Proportional to 177.96, 267.02 and 164.50

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Solution

The fourth proportional to 177.96, 267.02 and 164.50 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.96 : 267.02 = 164.50 : x
  2. Step 2: Convert to fraction form
    177.96/267.02 = 164.50/x
  3. Step 3: Cross multiply
    177.96x = 267.02 × 164.50
  4. Step 4: Simplify right side
    177.96x = 43,924.79
  5. Step 5: Solve for x
    x = 43,924.79/177.96
  6. Step 6: Final answer
    x = 246.82

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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.