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Finding the Fourth Proportional to 176.22, 264.38 and 68.09

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Solution

The fourth proportional to 176.22, 264.38 and 68.09 is: 102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.22 : 264.38 = 68.09 : x
  2. Step 2: Convert to fraction form
    176.22/264.38 = 68.09/x
  3. Step 3: Cross multiply
    176.22x = 264.38 × 68.09
  4. Step 4: Simplify right side
    176.22x = 17,999.97
  5. Step 5: Solve for x
    x = 17,999.97/176.22
  6. Step 6: Final answer
    x = 102.14

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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.