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Finding the Fourth Proportional to 176.22, 264.42 and 142.11

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Solution

The fourth proportional to 176.22, 264.42 and 142.11 is: 213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.22 : 264.42 = 142.11 : x
  2. Step 2: Convert to fraction form
    176.22/264.42 = 142.11/x
  3. Step 3: Cross multiply
    176.22x = 264.42 × 142.11
  4. Step 4: Simplify right side
    176.22x = 37,576.73
  5. Step 5: Solve for x
    x = 37,576.73/176.22
  6. Step 6: Final answer
    x = 213.24

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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.