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Finding the Fourth Proportional to 176.27, 265.33 and 149.85

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Solution

The fourth proportional to 176.27, 265.33 and 149.85 is: 225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.27 : 265.33 = 149.85 : x
  2. Step 2: Convert to fraction form
    176.27/265.33 = 149.85/x
  3. Step 3: Cross multiply
    176.27x = 265.33 × 149.85
  4. Step 4: Simplify right side
    176.27x = 39,759.70
  5. Step 5: Solve for x
    x = 39,759.70/176.27
  6. Step 6: Final answer
    x = 225.56

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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.