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Finding the Fourth Proportional to 177.16, 267.07 and 163.24

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Solution

The fourth proportional to 177.16, 267.07 and 163.24 is: 246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.16 : 267.07 = 163.24 : x
  2. Step 2: Convert to fraction form
    177.16/267.07 = 163.24/x
  3. Step 3: Cross multiply
    177.16x = 267.07 × 163.24
  4. Step 4: Simplify right side
    177.16x = 43,596.51
  5. Step 5: Solve for x
    x = 43,596.51/177.16
  6. Step 6: Final answer
    x = 246.09

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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.