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Finding the Fourth Proportional to 176.40, 264.22 and 141.97

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Solution

The fourth proportional to 176.40, 264.22 and 141.97 is: 212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.40 : 264.22 = 141.97 : x
  2. Step 2: Convert to fraction form
    176.40/264.22 = 141.97/x
  3. Step 3: Cross multiply
    176.40x = 264.22 × 141.97
  4. Step 4: Simplify right side
    176.40x = 37,511.31
  5. Step 5: Solve for x
    x = 37,511.31/176.40
  6. Step 6: Final answer
    x = 212.65

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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.