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Finding the Fourth Proportional to 176.96, 263.28 and 166.72

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Solution

The fourth proportional to 176.96, 263.28 and 166.72 is: 248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.96 : 263.28 = 166.72 : x
  2. Step 2: Convert to fraction form
    176.96/263.28 = 166.72/x
  3. Step 3: Cross multiply
    176.96x = 263.28 × 166.72
  4. Step 4: Simplify right side
    176.96x = 43,894.04
  5. Step 5: Solve for x
    x = 43,894.04/176.96
  6. Step 6: Final answer
    x = 248.04

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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.