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Finding the Fourth Proportional to 177.36, 264.32 and 166.92

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Solution

The fourth proportional to 177.36, 264.32 and 166.92 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.36 : 264.32 = 166.92 : x
  2. Step 2: Convert to fraction form
    177.36/264.32 = 166.92/x
  3. Step 3: Cross multiply
    177.36x = 264.32 × 166.92
  4. Step 4: Simplify right side
    177.36x = 44,119.46
  5. Step 5: Solve for x
    x = 44,119.46/177.36
  6. Step 6: Final answer
    x = 248.76

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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.