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Finding the Fourth Proportional to 176.75, 263.82 and 164.06

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Solution

The fourth proportional to 176.75, 263.82 and 164.06 is: 244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.75 : 263.82 = 164.06 : x
  2. Step 2: Convert to fraction form
    176.75/263.82 = 164.06/x
  3. Step 3: Cross multiply
    176.75x = 263.82 × 164.06
  4. Step 4: Simplify right side
    176.75x = 43,280.99
  5. Step 5: Solve for x
    x = 43,280.99/176.75
  6. Step 6: Final answer
    x = 244.88

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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.