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Finding the Fourth Proportional to 176.38, 264.03 and 169.54

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Solution

The fourth proportional to 176.38, 264.03 and 169.54 is: 253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.38 : 264.03 = 169.54 : x
  2. Step 2: Convert to fraction form
    176.38/264.03 = 169.54/x
  3. Step 3: Cross multiply
    176.38x = 264.03 × 169.54
  4. Step 4: Simplify right side
    176.38x = 44,763.65
  5. Step 5: Solve for x
    x = 44,763.65/176.38
  6. Step 6: Final answer
    x = 253.79

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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.