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Finding the Fourth Proportional to 176.28, 263.25 and 167.16

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Solution

The fourth proportional to 176.28, 263.25 and 167.16 is: 249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.28 : 263.25 = 167.16 : x
  2. Step 2: Convert to fraction form
    176.28/263.25 = 167.16/x
  3. Step 3: Cross multiply
    176.28x = 263.25 × 167.16
  4. Step 4: Simplify right side
    176.28x = 44,005.86
  5. Step 5: Solve for x
    x = 44,005.86/176.28
  6. Step 6: Final answer
    x = 249.64

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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.